Properties of the Number 27701

Twenty-Seven Thousand Seven Hundred One

Basics

Value: 27700 → 27701 → 27702

Parity: odd

Prime: Yes

Previous Prime: 27697

Next Prime: 27733

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 27701

Divisors: 1, 27701

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110110000110101

Octal: 66065

Duodecimal: 14045

Hexadecimal: 6c35

Square: 767345401

Square Root: 166.43617395265971

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 of strict compositions of n with all adjacent parts (x, y) satisfying x <= 2y and y <= 2x. A342342

Primes p such that q-p = 32, where q is the next prime after p. A126784

Primes p such that the decimal expansion of p remains prime under two iterations of base-10 to base-2 conversions. A123266

a(n) = largest prime < lcm(1..n). A60358

Index where prime(n) appears as a term in A379442. A379558

a(n) is the largest prime < A051451(n) - 1. A58023

Expansion of exp(2x)+exp(x)BesselI₀(2x). A81669

a(n) = 38·n² - 1. A158596

Primes p such that the 6 consecutive primes starting with p are congruent to 11, 13, 17, 19, 23, 29 (modulo 30) in this order. A351597

Primes p₁ where products m of k = 5 consecutive primes p₁..p_k are such that only p₁ < m^1/k. A376136