Properties of the Number 45616

Forty-Five Thousand Six Hundred Sixteen

Basics

Value: 45615 → 45616 → 45617

Parity: even

Prime: No

Previous Prime: 45613

Next Prime: 45631

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ⁴ × 2851

Divisors: 1, 2, 4, 8, 16, 2851, 5702, 11404, 22808, 45616

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1011001000110000

Octal: 131060

Duodecimal: 22494

Hexadecimal: b230

Square: 2080819456

Square Root: 213.5790251873999

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

Triangle T, read by rows, that satisfies: T(n,k) = [T²](n-1,k) for n>k+1>=1, with T(n,n) = 1 and T(n+1,n) = n+1 for n>=0, where T² is the matrix square of T. A109152

Column 1 of triangle A109152. A109154

Define K(n) = Integral_t=-1..1 t²ⁿ*(1-t²)²ⁿ/(1+it)³ⁿ⁺¹dt and write K(n) = d(n)*π - a(n)/c(n) where a(n), d(n), c(n) are positive integers; sequence gives a(n). A305997

Row sums of triangle A131252. A131253

Number of compositions of n with parts in N which avoid the pattern 221. A134044

Numerator of Hermite(n, 4/31). A160302

Numbers k such that at least 7 of k, k+1, ..., k+9 are divisible by their least prime factor squared. A328817

Primes p such that 10^p-1 == 1 (mod p²). A45616

Let K(n) = integral(t=-1,1, t²ⁿ*(1-t²)²ⁿ/(1+it)³ⁿ⁺¹ dt) and write K(n) = d(n)*π - b(n)/a(n) where a(n), b(n), d(n) are positive integers; sequence gives a(n). A305998

Number of compositions of n into exactly 2n nonnegative parts such that each positive i-th part is odd if i is odd. A348474