Properties of the Number 45415

Forty-Five Thousand Four Hundred Fifteen

Basics

Value: 45414 → 45415 → 45416

Parity: odd

Prime: No

Previous Prime: 45413

Next Prime: 45427

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 5 × 31 × 293

Divisors: 1, 5, 31, 155, 293, 1465, 9083, 45415

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011000101100111

Octal: 130547

Duodecimal: 22347

Hexadecimal: b167

Square: 2062522225

Square Root: 213.1079538637636

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

Coefficient of x⁴ in expansion of (1+x+x²)ⁿ. A5712

Number of representations of n as a sum of products of pairs of positive integers, n = ∑_k=1..m i_k*j_k with i_k<=j_k, i_k<=i_k+1, j_k<=j_k+1, i_k*j_k<=i_k+1*j_k+1. A212214

12-gonal (or dodecagonal) pyramidal numbers: a(n) = n*(n+1)*(10·n-7)/6. A7587

T(n,k)=Number of nXk 0..1 arrays with every element unequal to 2, 3, 4 or 5 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. A318222

a(n) = 54·n² + 1. A158646

a(n) = Trinomial(2·n+1, 4) = (1/6)*n*(2·n + 1)*(2·n² + 9·n + 1), n >= 0. A302709

Number of nX3 0..1 arrays with every element unequal to 2, 3, 4 or 5 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. A318217

Increasing partial quotients of e^π - π^e (A063504). A64441

Primes congruent to {1, 3, 5} mod 7. A45415