Properties of the Number 15002

Fifteen Thousand Two

Basics

Value: 15001 → 15002 → 15003

Parity: even

Prime: No

Previous Prime: 14983

Next Prime: 15013

Digit Sum: 8

Digital Root: 8

Palindrome: No

Factorization: 2 × 13 × 577

Divisors: 1, 2, 13, 26, 577, 1154, 7501, 15002

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 11101010011010

Octal: 35232

Duodecimal: 8822

Hexadecimal: 3a9a

Square: 225060004

Square Root: 122.48265183282079

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

Numbers k such that binomial(2k,k)+1 is prime. A66699

Triangle read by rows: T(n,k) gives the number of ballot sequences of length n having exactly k descents, n>=0, 0<=k<=n. A238121

Irregular triangle read by rows: T(n,k) gives the number of ballot sequences of length n having k descents, n>=0, 0<=k<=A083920(n-1). A238122

a(0) = 1, a(n) = 24·n² + 2 for n>0. A10014

Number of partitions of n containing a clique of size 9. A183566

Expansion of e.g.f. 1/( exp(-x) - x )². A379933

Number of nontrivially compound perfect squared rectangles of order n up to symmetries of the rectangle and its subrectangles. A217152

Number T(n,k) of tilings of a 5 X n rectangle with pentominoes of any shape and exactly k pentominoes of shape Z; triangle T(n,k), n>=0, read by rows. A247713

a(n) = 4394·n + 1820. A156636

a(n) = n*(5n² + 3n + 4) / 6. A203551