Properties of the Number 15502

Fifteen Thousand Five Hundred Two

Basics

Value: 15501 → 15502 → 15503

Parity: even

Prime: No

Previous Prime: 15497

Next Prime: 15511

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 2 × 23 × 337

Divisors: 1, 2, 23, 46, 337, 674, 7751, 15502

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11110010001110

Octal: 36216

Duodecimal: 8B7A

Hexadecimal: 3c8e

Square: 240312004

Square Root: 124.50702791409006

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 connected arrangements of n circles in the affine plane, in the sense that the union of the boundaries of the circles is a connected set. A275924

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000000 00000001 or 00010101. A260475

G.f. satisfies A(x) = (1 + x·A(x)) * (1 - x·A(x)²). A364374

a(n) = ceiling(a(n-1)*4/3), with a(1) = 1. A87192

Number of pairs (p,q) of partitions of n into distinct parts such that p majorizes q in the dominance order. A265506

Expansion of e.g.f. 1/(1 - (sinh(x) + x·cosh(x))/2 ). A349105

Number of n X 5 1..2 arrays containing at least one of each value, all equal values connected, rows considered as a single number in nondecreasing order, and columns considered as a single number in nondecreasing order. A166808

Number of (w,x,y,z) with all terms in {0,...,n} and |w-x|+|x-y+|y-z|=n. A212904

a(n) = ∑_k=1..n d(k)*prime(k), where d(k) = A001223. A64009

a(n+1) = 2·a(n-2) + a(n-1), with a(0) = 3, a(1) = 0, and a(2) = 2. A72328