Friday, December 14, 2018

Number of the day: 94440

Properties of the number 94440:

94440 = 23 × 3 × 5 × 787 is the 85331th composite number and is not squarefree.
94440 has 4 distinct prime factors, 32 divisors, 19 antidivisors and 25152 totatives.
94440 has a semiprime digit sum 21 in base 10.
94440 has a Fibonacci digit sum 21 in base 10.
94440 has a triangular digit sum 21 in base 10.
94440 = 236112 - 236092 = 118072 - 118032 = 78732 - 78672 = 47272 - 47172 = 39412 - 39292 = 23712 - 23512 = 15892 - 15592 = 8172 - 7572 is the difference of 2 nonnegative squares in 8 ways.
94440 is the sum of 2 positive triangular numbers.
94440 is the difference of 2 positive pentagonal numbers in 2 ways.
94440 = 102 + 562 + 3022 is the sum of 3 positive squares.
944402 = 566642 + 755522 is the sum of 2 positive squares in 1 way.
944402 is the sum of 3 positive squares.
94440 is a proper divisor of 3796 - 1.
94440 is palindromic in (at least) the following bases: 86, 89, and 95.

The number 94440 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A057280: Coefficient triangle of polynomials (rising powers) related to Fibonacci convolutions. Companion triangle to A057995.
A057282: Coefficient triangle of polynomials (falling powers) related to Fibonacci convolutions. Companion triangle to A057281.
A150180: Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 1, -1), (0, 1, 1), (1, -1, -1), (1, 0, 1)}
A208127: Cardinality of the set f^n({s}), where f is a variant of the Collatz function that replaces any element x in the argument set by both x/2 and 3*x+1, and s is an arbitrary irrational number.
A254942: Number of length n 1..(3+1) arrays with every leading partial sum divisible by 2, 3, 5, 7 or 11

No comments:

Post a Comment