Properties of the Number 431

Four Hundred Thirty-One

Basics

Value: 430 → 431 → 432

Parity: odd

Prime: Yes

Previous Prime: 421

Next Prime: 433

Digit Sum: 8

Digital Root: 8

Palindrome: No

Factorization: 431

Divisors: 1, 431

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110101111

Octal: 657

Duodecimal: 2BB

Hexadecimal: 1af

Square: 185761

Square Root: 20.760539492026695

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: Yes

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Lesser of twin primes. A1359

Primes of the form x² + xy + 2y², with·and y nonnegative. A106856

Sophie Germain primes p: 2p+1 is also prime. A5384

Primes of the form 4·k + 3. A2145

Twin primes. A1097

Prime-indexed primes: primes with prime subscripts. A6450

Number of partitions of n into parts each of which is used a different number of times. A98859

a(n) = ∑_k=1..n k·floor(n/k); also ∑_k=1..n σ(k) where σ(n) = sum of divisors of n (A000203). A24916

Ramanujan primes R_n: a(n) is the smallest number such that if x >= a(n), then π(x) - π(x/2) >= n, where π(x) is the number of primes <= x. A104272

Primes of the form 3n-1. A3627