Tuesday, October 17, 2017

Number of the day: 94234

Properties of the number 94234:

94234 = 2 × 7 × 53 × 127 is the 85144th composite number and is squarefree.
94234 has 4 distinct prime factors, 16 divisors, 19 antidivisors and 39312 totatives.
94234 has a semiprime digit sum 22 in base 10.
Reversing the decimal digits of 94234 results in a semiprime.
94234 is the difference of 2 positive pentagonal numbers in 5 ways.
94234 = 602 + 972 + 2852 is the sum of 3 positive squares.
942342 = 497842 + 800102 is the sum of 2 positive squares in 1 way.
942342 is the sum of 3 positive squares.
94234 is a proper divisor of 1073 - 1.
94234 is palindromic in (at least) the following bases: -51, and -87.
94234 in base 50 = bYY and consists of only the digits 'Y' and 'b'.

The number 94234 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A191490: Triangle generated by the recurrence T(n+1,k+1) = T(n,k+1) + n * T(n,k) + delta(n,k) with the initial values T(n,0) = 1 and T(0,k) = delta(k,0), where delta(n,k) is the Kronecker delta.
A231262: Number of (n+1)X(7+1) 0..2 arrays with no element unequal to a strict majority of its horizontal and antidiagonal neighbors, with values 0..2 introduced in row major order
A231263: T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with no element unequal to a strict majority of its horizontal and antidiagonal neighbors, with values 0..2 introduced in row major order
A231265: Number of (3+1)X(n+1) 0..2 arrays with no element unequal to a strict majority of its horizontal and antidiagonal neighbors, with values 0..2 introduced in row major order
A238868: Number of partitions of n where the difference between consecutive parts is at most 8.

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