Properties of the Number 15541

Fifteen Thousand Five Hundred Forty-One

Basics

Value: 15540 → 15541 → 15542

Parity: odd

Prime: Yes

Previous Prime: 15527

Next Prime: 15551

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 15541

Divisors: 1, 15541

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11110010110101

Octal: 36265

Duodecimal: 8BB1

Hexadecimal: 3cb5

Square: 241522681

Square Root: 124.66354719804824

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

Primes of the form 210n + 1. A73102

Smallest prime p such that 17ⁿ divides p¹⁶ - 1. A125633

Primes of form n² + 14641. A256839

Number of distinct lines through the origin in the n-dimensional lattice of side length 6. A90022

Number of distinct lines through the origin in 5-dimensional cube of side length n. A90027

Triangle read by rows: T(n,k) = number of distinct lines through the origin in the n-dimensional cubic lattice of side length k with one corner at the origin. A90030

Smallest odd prime base q such that p⁴ divides q^p-1 - 1, where p = prime(n). A125645

Smallest odd prime base q such that p⁵ divides q^p-1 - 1, where p = prime(n). A125646

Table T(k, n) of smallest bases b > 1 such that p = prime(n) satisfies b^p-1 == 1 (mod p^k), read by antidiagonals. A257833

T(n,k)=Number of nXk 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1 neighboring 1. A297395