Properties of the Number 15038

Fifteen Thousand Thirty-Eight

Basics

Value: 15037 → 15038 → 15039

Parity: even

Prime: No

Previous Prime: 15031

Next Prime: 15053

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 × 73 × 103

Divisors: 1, 2, 73, 103, 146, 206, 7519, 15038

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 11101010111110

Octal: 35276

Duodecimal: 8852

Hexadecimal: 3abe

Square: 226141444

Square Root: 122.62952336203546

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 T(n,k) of permutations p of [n] with no fixed points where the maximal displacement of an element equals k; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A259784

Number of partitions of n having no parts equal to the size of their Durfee squares. A118199

T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with no element greater than all horizontal neighbors or less than all vertical neighbors. A237859

Number of 9's in the last section of the set of partitions of n. A206559

Fibonacci sequence beginning 2, 14. A22369

G.f. A(x) satisfies: A( 2·A(x)² - 4·A(x)³ ) = 2·x² + 4·x³. A290957

Number of permutations of [n] with no fixed points where the maximal displacement of an element equals five. A321051

Numbers k such that k⁴ + 1, (k+2)⁴ + 1 and (k+4)⁴ + 1 are all primes. A73476

Expansion of (1 - x + x²)*(1 + x + x² - x³ + 2·x⁴)/((1 - x)*(1 + x)²*(1 + x²)*(1 + x - x² + x³)). A104237

Expansion of (-x+2·x²-x³-x⁴-2·x⁵)/(-1+3·x-2·x²-x⁴+x⁵). A221949