Friday, July 10, 2020

Number of the day: 9422

Properties of the number 9422:

9422 = 2 × 7 × 673 is a sphenic number and squarefree.
9422 has 3 distinct prime factors, 8 divisors, 11 antidivisors and 4032 totatives.
9422 has an emirp digit sum 17 in base 10.
9422 has a Fibonacci digit product 144 in base 10.
Reversing the decimal digits of 9422 results in a semiprime.
9422 = 22 + 32 + 972 is the sum of 3 positive squares.
94222 = 53902 + 77282 is the sum of 2 positive squares in 1 way.
94222 is the sum of 3 positive squares.
9422 is a proper divisor of 9296 - 1.
9422 = '9' + '422' is the concatenation of 2 semiprime numbers.
9422 is palindromic in (at least) the following bases: 35, 43, and 60.
9422 in base 12 = 5552 and consists of only the digits '2' and '5'.
9422 in base 35 = 7o7 and consists of only the digits '7' and 'o'.
9422 in base 42 = 5EE and consists of only the digits '5' and 'E'.
9422 in base 43 = 545 and consists of only the digits '4' and '5'.
9422 in base 48 = 44E and consists of only the digits '4' and 'E'.
9422 in base 59 = 2ff and consists of only the digits '2' and 'f'.
9422 in base 60 = 2b2 and consists of only the digits '2' and 'b'.

The number 9422 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A091434: Poincar series [or Poincare series] (or Molien series) for a certain four-fold wreath product P_4.
A116271: n times n+9 gives the concatenation of two numbers m and m-3.
A173337: Numbers k>1 such that phi(phi(k))= sigma(sopf(k)).
A196507: a(n) = n*(3*n^2 + 6*n + 1).
A208483: Total sum of the sums of all positive k-th ranks of all partitions of n.
A224197: Least b > p_n^2 such that [p_1^2,p_2^2,...,p_n^2] in base b is prime, where p_j denotes the j-th prime.
A232359: Positions of peak values in A232221.
A248690: Number of words in the n-th book of the King James Version of the Holy Bible.
A272675: Indices where records occur in A265432.
A290574: Self numbers that are the product of two self numbers greater than one.

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