Properties of the Number 45414

Forty-Five Thousand Four Hundred Fourteen

Basics

Value: 45413 → 45414 → 45415

Parity: even

Prime: No

Previous Prime: 45413

Next Prime: 45427

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ³ × 29 ²

Divisors: 1, 2, 3, 6, 9, 18, 27, 29, 54, 58

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1011000101100110

Octal: 130546

Duodecimal: 22346

Hexadecimal: b166

Square: 2062431396

Square Root: 213.1056076221365

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

T(n,k) = number of ways to arrange k indistinguishable points on an n X n X n triangular grid so that no three points are collinear at any angle. A194136

Expansion of exp( ∑_{n >= 1} A210676(n)*xⁿ/n ). A255926

Number of ways to arrange 4 indistinguishable points on an n X n X n triangular grid so that no three points are collinear at any angle. A194132

Sum of all distinct multiplicities in the partitions of 2n into n parts. A373104

a(n) = ∑_k=0..n 2^n-k * binomial(2·n+1,k) * binomial(2·n-k-1,n-k). A386862

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 0, 1), (0, 1, -1), (1, -1, 1), (1, 0, 0)}. A148115

Primes congruent to {0, 3} mod 5. A45414