Properties of the Number 15000

Fifteen Thousand

Basics

Value: 14999 → 15000 → 15001

Parity: even

Prime: No

Previous Prime: 14983

Next Prime: 15013

Digit Sum: 6

Digital Root: 6

Palindrome: No

Factorization: 2 ³ × 3 × 5 ⁴

Divisors: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11101010011000

Octal: 35230

Duodecimal: 8820

Hexadecimal: 3a98

Square: 225000000

Square Root: 122.47448713915891

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: Yes

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) = n³ - n². A45991

Triangle read by rows: terms T(n,k) of a binomial decomposition of n as Sum(k=0..n)T(n,k). A244133

Order of the group SL(2,Z_n). A56

a(n) = 5ⁿ * n!. A52562

Quintuple factorials, 5-factorials, n!!!!!, n!5. A85157

a(n) = n·A276086(n). A324580

Alternating sum of the squares of the first n Fibonacci numbers. A119283

Numbers n that raised to the powers from 1 to k (with k>=1) are multiples of the sum of their digits (and n raised to k+1 must not be such a multiple). Case k=14. A135199

Number of permutations of 4 indistinguishable copies of 1..n arranged in a circle with exactly 1 local maximum. A159727

T(n,k)=Number of nXk 0..2 arrays with no element equal to any value at offset (-2,0) (-1,2) or (0,-2) and new values introduced in order 0..2. A275565