Properties of the Number 31601

Thirty-One Thousand Six Hundred One

Basics

Value: 31600 → 31601 → 31602

Parity: odd

Prime: Yes

Previous Prime: 31583

Next Prime: 31607

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 31601

Divisors: 1, 31601

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111101101110001

Octal: 75561

Duodecimal: 16355

Hexadecimal: 7b71

Square: 998623201

Square Root: 177.7667010438119

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 5k² + 5k + 1. A90562

Primes of form n² + 625. A256777

Father primes of order 11. A136080

Numbers k such that σ(φ(σ(k))) = φ(σ(φ(k))). A67160

a(n) = prime(100·n). A31921

Related to Gilbreath conjecture. A1549

Primes p such that number of primes produced according to rules stipulated in Honaker's A048853 is 3. A50665

Number of length 3+1 0..n arrays with the sum of the maximum of each adjacent pair multiplied by some arrangement of +-1 equal to zero. A250647

Number of nonnegative integers k with n digits such that x² - s·x + p has only integer roots, where s and p denote the sum and product of the digits of k respectively. A355574

a(n) = s(1)s(n) + s(2)s(n-1) + ... + s(k)s(n+1-k), where k = [ (n+1)/2 ], s = A001950 (upper Wythoff sequence). A24689