Properties of the Number 27073

Twenty-Seven Thousand Seventy-Three

Basics

Value: 27072 → 27073 → 27074

Parity: odd

Prime: Yes

Previous Prime: 27067

Next Prime: 27077

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 27073

Divisors: 1, 27073

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110100111000001

Octal: 64701

Duodecimal: 13801

Hexadecimal: 69c1

Square: 732947329

Square Root: 164.53874923555242

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 of Mahonian numbers T(n,k): coefficients in expansion of ∏_i=0..n-1 (1 + x + ... + xⁱ), where k ranges from 0 to A000217(n-1). Also enumerates permutations by their major index. A8302

Positive numbers y such that y² is of the form x²+(x+17)² with integer x. A155923

Denominators of lower primes-only best approximates (POBAs) to sqrt(2); see Comments. A265773

Denominators of primes-only best approximates (POBAs) to sqrt(2); see Comments. A265777

Number of compositions of n with distinct circular differences up to sign. A325553

Primes of the form 3·m² - 2. A201715

a(n) = 6·a(n-1) - a(n-2) for n > 2; a(1) = 25, a(2) = 137. A156158

Leading diagonal of triangle in A072467. A72468

Smallest of six consecutive primes whose sum of digits is prime. A106719

Smallest of seven consecutive primes the sum of the digits of each of which is prime. A106722