Properties of the Number 27917

Twenty-Seven Thousand Nine Hundred Seventeen

Basics

Value: 27916 → 27917 → 27918

Parity: odd

Prime: Yes

Previous Prime: 27901

Next Prime: 27919

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 27917

Divisors: 1, 27917

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110110100001101

Octal: 66415

Duodecimal: 141A5

Hexadecimal: 6d0d

Square: 779358889

Square Root: 167.08381130438698

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 n³ + n² + 17, for nonnegative values of n. A50266

Prime numbers n such that n = p1³ + p2³ + p3³, a sum of cubes of 3 distinct prime numbers. A137365

Lesser of twin primes p1 such that p1+(p2²-p1²) and p2+(p2²-p1²) are prime numbers. A174922

Primes which are the sum of three distinct positive cubes in two or more distinct ways. A180088

Subsequence of A137365 where it is possible to choose p1, p2, p3 so that p1+p2+p3 = prime. A137366

a(n) is the minimal prime of the form 4k+1 for which s=A008784(n) is the minimal positive integer such that s·a(n)-floor(sqrt(s·a(n)))² is a square. A145215

Primes of the form p³ + q³ + r³, where p, q and r are primes. A123597

Number of closed λ-terms of size n with at most 2 free de Bruijn indices. A220896

The number of distinct positions on an infinite chessboard reachable by the (3,4)-leaper in <= n moves. A297741

a(n) = floor(n²/3 + n³/2). A390565