Properties of the Number 45016

Forty-Five Thousand Sixteen

Basics

Value: 45015 → 45016 → 45017

Parity: even

Prime: No

Previous Prime: 45013

Next Prime: 45053

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 ³ × 17 × 331

Divisors: 1, 2, 4, 8, 17, 34, 68, 136, 331, 662

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010111111011000

Octal: 127730

Duodecimal: 22074

Hexadecimal: afd8

Square: 2026440256

Square Root: 212.16974336601342

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

A(n,k) is the n-th derivative of f_k at x=1, and f_k is the k-th of all functions that are representable as x^x^...^x with m>=1 x's and parentheses inserted in all possible ways; square array A(n,k), n>=0, k>=1, read by antidiagonals. A215703

n-th derivative of x^{x^x} at x=1. A179230

A(n,k) is the n-th derivative of the k-th tetration of x (power tower of order k) x^^k at x=1; square array A(n,k), n>=0, k>=0, read by antidiagonals. A277537

1 + ∑_n>=1 a_n xⁿ = 1/∏_n>=1 (1+xⁿ)^prime(n). A61151

Let S denote the palindromes in the language {0,1,2,3}*; a(n) = number of words of length n in the language SS. A7057

Consecutive internal states of the linear congruential pseudo-random number generator (171·s + 11213) mod 53125 when started at 1. A385039

Number of reduced words of length n in the Weyl group E₈ on 8 generators and order 696729600. A162494

∑_0<j<k<=n s(k)-s(j), where s(j)=A002620(j) is the j-th quarter-square. A206806

Antidiagonal sums of the convolution array A213841. A213843

Eighth derivative of f_n at x=1, where f_n is the n-th of all functions that are representable as x^x^...^x with m>=1 x's and parentheses inserted in all possible ways. A215838