Properties of the Number 45614

Forty-Five Thousand Six Hundred Fourteen

Basics

Value: 45613 → 45614 → 45615

Parity: even

Prime: No

Previous Prime: 45613

Next Prime: 45631

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 × 22807

Divisors: 1, 2, 22807, 45614

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1011001000101110

Octal: 131056

Duodecimal: 22492

Hexadecimal: b22e

Square: 2080636996

Square Root: 213.57434302837032

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

Number of partitions of n-1 boys and one girl with no couple. A120452

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where A(n,k) = n! * k! * [xⁿ * y^k] 1 / (exp(x) + exp(y) - exp(x+y))². A382734

a(n) = a(n-1) + a(n-2) + a([n/2]) + a([n/3]) + ... + a([n/n]), where a(0) = 1, a(1) = 1, a(2) = 1. A298356

Fibonacci sequence beginning 14, 9. A206641

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 315", based on the 5-celled von Neumann neighborhood. A271248

Number of n X n 0..1 arrays with no element equal to more than one of its horizontal and antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards. A281198

T(n,k)=Number of nXk 0..1 arrays with no element equal to more than one of its horizontal and antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards. A281205

Maximal elements of pairs of "Super Unitary Amicable Numbers", sorted by their minimal elements. A45614

G.f. A(x) satisfies: Series_Reversion( A(x)/(1 - i·x + A(x)²) ) = A(x)/(1 + i·x + A(x)²), where odd function A(x) = ∑_n>=1 a(n)*x^2·n-1 and i² = -1. A277179