Properties of the Number 5615

Five Thousand Six Hundred Fifteen

Basics

Value: 5614 → 5615 → 5616

Parity: odd

Prime: No

Previous Prime: 5591

Next Prime: 5623

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 5 × 1123

Divisors: 1, 5, 1123, 5615

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010111101111

Octal: 12757

Duodecimal: 32BB

Hexadecimal: 15ef

Square: 31528225

Square Root: 74.93330367733695

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) = prime(n)*prime(n+1) - prime(n) - prime(n+1). A37165

a(n) = n*(5·n² - 2)/3. A4466

Two-dimensional array read by antidiagonals: T(n,k) = number of arrays of maxima of three adjacent elements of some length n+2 0..k array. A228461

Expansion of 1 / ((1-x)²*(1-x²)*(1-x³)*(1-x⁴)). A2621

Numbers n such that p(7n) is prime, where p(n) is the number of partitions of n. A114167

Numbers n such that Q(sqrt(n)) has class number 10. A218042

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with no 3x3 subblock diagonal sum 1 and no antidiagonal sum 1 and no row sum 0 or 1 and no column sum 0 or 1. A255159

Riordan array (1/sqrt(1-4·x), (1/sqrt(1-4·x)-1)/2). A116395

Coefficients in the power series A(x) such that: A(x)⁴ = ∑_n=-oo..+oo x^2·n+1 * (1 - xⁿ)ⁿ⁺¹ * A(x)ⁿ. A357154

Number of integer partitions of n whose LCM is greater than n. A327779