Properties of the Number 45994

Forty-Five Thousand Nine Hundred Ninety-Four

Basics

Value: 45993 → 45994 → 45995

Parity: even

Prime: No

Previous Prime: 45989

Next Prime: 46021

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 2 × 13 × 29 × 61

Divisors: 1, 2, 13, 26, 29, 58, 61, 122, 377, 754

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1011001110101010

Octal: 131652

Duodecimal: 2274A

Hexadecimal: b3aa

Square: 2115448036

Square Root: 214.46211786700232

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Numbers k such that k*∑_d∣k 1/σ(d) is an integer. A69166

Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 17. A31605

Number of partitions of n with equal nonzero number of parts congruent to each of 0 and 4 (mod 5). A35565

A vector recursion designed around a row sum of A000165: v(n)=if[odd,{1.n,n²,...,2ⁿ*n!-Sum2^m,{m,0,n/2-1}],2ⁿ*n!-Sum2^m,{m,0,n/2-1}],...n².n,1},{1.n,n²,...,2ⁿ*n!-2Sum2^m,{m,0,n/2-1}],...n².n,1}]. A152936

Numbers m such that, if k is the number of digits of m, then for some r > 1, the sum of the k-th powers of the digits of m^r is equal to m. A364601

a(n) = denominator of ∑_d∣n 1/σ(d). A265710

a(0)=1, a(n) = M(n) + ∑_k=1..n-1 M(k)*a(n-k-1), where M(n) are the Motzkin numbers (A001006). A45994