Properties of the Number 7917

Seven Thousand Nine Hundred Seventeen

Basics

Value: 7916 → 7917 → 7918

Parity: odd

Prime: No

Previous Prime: 7907

Next Prime: 7919

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 7 × 13 × 29

Divisors: 1, 3, 7, 13, 21, 29, 39, 87, 91, 203

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111011101101

Octal: 17355

Duodecimal: 46B9

Hexadecimal: 1eed

Square: 62678889

Square Root: 88.97752525216691

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 ways to partition 2n+1 into distinct positive integers. A78408

Lucas and Lehmer numbers with parameters (1 +- sqrt(-7))/2. A107920

Numbers m such that there are precisely 7 groups of order m. A249550

a(n) = -a(n-1) - 2·a(n-2). A1607

a(n) = (2·n+5)*(2·n+1). A78371

Numbers k such that k² divides 16^k-1. A128396

a(n) = n*(9·n - 1)/2. A22266

Number of ways to split a strict integer partition of n into contiguous subsequences all having different sums. A336132

a(n) is the unique odd positive solution·of 2ⁿ = 7x²+y². A77020

a(n) = F(4)*F(n)*F(n+1) + F(5)*F(n+1)² if n odd, a(n) = F(4)*F(n)*F(n+1) + F(5)*F(n+1)² - F(5) if n even, where F(n) is the n-th Fibonacci number (A000045). A80144