Number of the day: 9842

Properties of the number 9842:

9842 = 2 × 7 × 19 × 37 is the 8627^th composite number and is squarefree.
9842 has 4 distinct prime factors, 16 divisors, 21 antidivisors and 3888 totatives.
9842 has a prime digit sum 23 in base 10.
Reversing the decimal digits of 9842 results in a semiprime.
9842 = 4² + 5² + 99² is the sum of 3 positive squares.
9842² = 3192² + 9310² is the sum of 2 positive squares in 1 way.
9842² is the sum of 3 positive squares.
9842 is a proper divisor of 1597⁴ - 1.
9842 = '9' + '842' is the concatenation of 2 semiprime numbers.
9842 is palindromic in (at least) the following bases: 26, 29, 60, -3, -27, -80, and -82.
9842 in base 3 = 111111112 and consists of only the digits '1' and '2'.
9842 in base 24 = h22 and consists of only the digits '2' and 'h'.
9842 in base 26 = eee and consists of only the digit 'e'.
9842 in base 27 = dde and consists of only the digits 'd' and 'e'.
9842 in base 29 = bkb and consists of only the digits 'b' and 'k'.
9842 in base 37 = 770 and consists of only the digits '0' and '7'.
9842 in base 40 = 662 and consists of only the digits '2' and '6'.
9842 in base 49 = 44g and consists of only the digits '4' and 'g'.
9842 in base 59 = 2mm and consists of only the digits '2' and 'm'.
9842 in base 60 = 2i2 and consists of only the digits '2' and 'i'.

The number 9842 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A005581: a(n) = (n-1)*n*(n+4)/6.
A007051: a(n) = (3^n + 1)/2.
A047848: Array T read by diagonals; n-th difference of (T(k,n),T(k,n-1),...,T(k,0)) is (k+2)^(n-1), for n=1,2,3,...; k=0,1,2,...
A059934: Third step in Goodstein sequences, i.e. g(5) if g(2)=n: write g(4)=A057650(n) in hereditary representation base 4, bump to base 5, then subtract 1 to produce g(5).
A124302: Number of set partitions with at most 3 blocks; number of Dyck paths of height at most 4; dimension of space of symmetric polynomials in 3 noncommuting variables.
A191450: Dispersion of (3n-1), read by antidiagonals.
A243066: Permutation of natural numbers, the even bisection of A241909 incremented by one and halved; equally, a composition of A241909 and A048673: a(n) = A048673(A241909(n)).
A243506: Permutation of natural numbers: a(n) = A048673(A122111(n)).
A254051: Square array A by downward antidiagonals: A(n,k) = (3 + 3^n*(2*floor(3*k/2) - 1))/6, n,k >= 1; read as A(1,1), A(1,2), A(2,1), A(1,3), A(2,2), A(3,1), ...
A278984: Array read by antidiagonals downwards: T(b,n) = number of words of length n over an alphabet of size b that are in standard order.