Properties of the Number 15093

Fifteen Thousand Ninety-Three

Basics

Value: 15092 → 15093 → 15094

Parity: odd

Prime: No

Previous Prime: 15091

Next Prime: 15101

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 13 × 43

Divisors: 1, 3, 9, 13, 27, 39, 43, 117, 129, 351

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: Yes

Tetrahedral: No

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Representations

Binary: 11101011110101

Octal: 35365

Duodecimal: 8899

Hexadecimal: 3af5

Square: 227798649

Square Root: 122.85357137665962

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) = (n+1)*(n² +8·n +6)/6. Number of n-dimensional partitions of 4. Number of terms in 4th derivative of a function composed with itself n times. A8778

Numbers k such that 10^k + 7 is prime. A88274

Number of mixed Husimi trees with n nodes; or rooted polygonal cacti with bridges. A237

Coefficients in a q-analog of the LambertW function, as a triangle read by rows. A152290

Numbers that are the sum of eight fourth powers in seven or more ways. A345582

Numbers that are the sum of eight fourth powers in exactly seven ways. A345839

G.f.: A(x) = ∑_n>=0 x^n*(n+1/2) / ∏_k=1..n (1-x^k)^k. A206138

Numbers that are both a sum and a difference of two positive cubes. A225908

Odd heptagonal numbers (A000566). A14637

Bessel function Y₀(n) is a monotonically decreasing positive sequence. A46961