Properties of the Number 34157

Thirty-Four Thousand One Hundred Fifty-Seven

Basics

Value: 34156 → 34157 → 34158

Parity: odd

Prime: Yes

Previous Prime: 34147

Next Prime: 34159

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 34157

Divisors: 1, 34157

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000010101101101

Octal: 102555

Duodecimal: 17925

Hexadecimal: 856d

Square: 1166700649

Square Root: 184.81612483763422

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 compositions of n whose set of distinct parts is pairwise coprime, where a singleton is always considered coprime. A337664

Primes that are palindromic in base 11. A29978

Indices k such that 6 plus the k-th triangular number is a perfect square. A154140

Coefficient of·in the reduction by x² -> x+1 of the polynomial p(n,x) defined at Comments. A192976

a(n) = A216960(n)/2. A216961

Numbers k such that 3·2^k + 7 is prime. A59746

a(n) is the smallest lesser of twin prime p, such that prime(2 + p) - prime(p) = 2n (cf. A096474). A96475

Primes (with d digits, say) that generate another prime when acted on by the "standard" superpermutation of length A007489(d) of d elements (cf. comment). A244311

Primes p such that p³ is the concatenation of two k-digit primes where k is half the number of decimal digits in p³. A248208

Number of nonnegative integer arrays of length n+4 with new values 0 upwards introduced in order, no three adjacent elements equal, and containing the value n+1. A211837