Properties of the Number 27299

Twenty-Seven Thousand Two Hundred Ninety-Nine

Basics

Value: 27298 → 27299 → 27300

Parity: odd

Prime: Yes

Previous Prime: 27283

Next Prime: 27329

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 27299

Divisors: 1, 27299

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 110101010100011

Octal: 65243

Duodecimal: 1396B

Hexadecimal: 6aa3

Square: 745235401

Square Root: 165.22409025320732

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

Triangle T(n, k, m) = (m*(n-k) + 1)*T(n-1, k-1, m) + (m·k + 1)*T(n-1, k, m) - m·f(n,k)*T(n-2, k-1, m) with T(n, 0, m) = T(n, n, m) = 1, f(n, k) = k if k <= floor(n/2) otherwise n-k, and m = 3, read by rows. A157212

Primes p such that q-p = 30, where q is the next prime after p. A124596

Primes having only {2, 7, 9} as digits. A261182

The number of even prime gaps g, satisfying g == 0 (mod 6), out of the first 2ⁿ even prime gaps. A340948

Numbers n such that (43ⁿ - 1)/42 is prime. A240765

Relative of Hofstadter Q-sequence: a(n) = max(0, n+27298) for n <= 0; a(n) = a(n-a(n-1)) + a(n-a(n-2)) + a(n-a(n-3)) for n > 0. A283888

a(n) is smallest safe prime (A005385) such that a(n) + 12·n is the next safe prime, i.e., x = (a(n) - 1)/2 and x + 6·n are closest Sophie Germain primes. A59327

Primes p such that p³ - 1 has 8 divisors. A341659

Highly cototient numbers that are prime, or intersection of A000040 and A100827. A105440

Where records occur in A129385. A129387