Properties of the Number 5968

Five Thousand Nine Hundred Sixty-Eight

Basics

Value: 5967 → 5968 → 5969

Parity: even

Prime: No

Previous Prime: 5953

Next Prime: 5981

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 2 ⁴ × 373

Divisors: 1, 2, 4, 8, 16, 373, 746, 1492, 2984, 5968

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011101010000

Octal: 13520

Duodecimal: 3554

Hexadecimal: 1750

Square: 35617024

Square Root: 77.25283166331187

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

a(n) = 4·n² - 3·n + 1. A54552

Expansion of 1/(1-2·x+x⁵). A107066

Number of integer partitions of n such that (length) * (maximum) = 2n. A361853

Number of primes <= 3ⁿ. A55729

List of different composites in Pascal-like triangles with index of asymmetry y = 3 and index of obliqueness z = 0 or z = 1. A141069

Numbers n such that n² contains exactly 8 different digits. A54036

Prime(a(n)) + ... + prime(a(n)+3) is a square = A051395(n)². A72849

T(n,k) is the number of (n+1) X (k+1) 0..6 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 7 (constant-stress 1 X 1 tilings). A235319

The path length of the Fibonacci tree of order n. A178523

Centered 17-gonal numbers: (17·n² - 17·n + 2)/2. A69130