Properties of the Number 15101

Fifteen Thousand One Hundred One

Basics

Value: 15100 → 15101 → 15102

Parity: odd

Prime: Yes

Previous Prime: 15091

Next Prime: 15107

Digit Sum: 8

Digital Root: 8

Palindrome: No

Factorization: 15101

Divisors: 1, 15101

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11101011111101

Octal: 35375

Duodecimal: 88A5

Hexadecimal: 3afd

Square: 228040201

Square Root: 122.88612614937456

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) = prime(n²). A11757

Primes having only {0, 1, 5} as digits. A199325

Balanced primes of order seven. A96699

T(n,k) is the number of -k..k arrays of n elements with first, second and third differences also in -k..k. A202124

Primes of form 100·k + 1. A62800

Preperiod (or threshold) of orbit of Watanabe's 3-shift tag system {00/1011} applied to the word (100)ⁿ. A292090

Number of times that the numerator of a sum generated from the set 1, 1/2, 1/3,..., 1/n is prime. A75188

Primes p with prime(p)² + (2·p)² and p² + (2·prime(p))² both prime. A236193

Numbers n such that (13ⁿ + 12ⁿ)/25 is prime. A225097

One and prime numbers whose prime index is a perfect square. A323526