Properties of the Number 15017

Fifteen Thousand Seventeen

Basics

Value: 15016 → 15017 → 15018

Parity: odd

Prime: Yes

Previous Prime: 15013

Next Prime: 15031

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 15017

Divisors: 1, 15017

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11101010101001

Octal: 35251

Duodecimal: 8835

Hexadecimal: 3aa9

Square: 225510289

Square Root: 122.54386969571347

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

T(n,k) = Number of n X k 0..1 arrays with every element equal to 0, 1, 3 or 4 horizontally or antidiagonally adjacent elements, with upper left element zero. A302081

Numbers m that generate rotationally symmetrical XOR-triangles T(m) that have central triangles of zeros. A334769

Class 6+ primes. A81634

a(n) = ∑_k=1..n k!². A104344

Primes p with q(p) - 1 also prime, where q(.) is the strict partition function (A000009). A234644

Numerators of upper primes-only best approximates (POBAs) to the golden ratio, φ (A001622); see Comments. A265798

Primes of the form (1!)² + (2!)² + (3!)² +...+ (k!)². A100288

Negative values along the main diagonal of the array defined by A020806 and its differences. A144472

Numerator of A373158(n) / A108951(n), where A108951 is fully multiplicative and A373158 is fully additive with a(p) = p# for prime p, where x# is the primorial A034386(x). A373986

Primes of the form primorial(p)/2+2. A96178