Properties of the Number 70957

Seventy Thousand Nine Hundred Fifty-Seven

Basics

Value: 70956 → 70957 → 70958

Parity: odd

Prime: Yes

Previous Prime: 70951

Next Prime: 70969

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 70957

Divisors: 1, 70957

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001010100101101

Octal: 212455

Duodecimal: 35091

Hexadecimal: 1152d

Square: 5034895849

Square Root: 266.3775516067373

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

Divide primes in groups with 2n+1 elements and add together. A109725

L.g.f.: -log(1 - ∑_n>=1 x^n²) = ∑_n>=1 a(n)*xⁿ/n. A219331

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 the multiplicative order of 3 modulo p is a power of 3. A367648

Primes p such that 2p + 3, 4p + 9, 3p + 2 and 9p + 8 are also primes. A176619

Primes p such that p+A003132(p),(p+A003132(p))+A003132(p+A003132(p)), p-A003132(p), and (p-A003132(p))-A003132(p-A003132(p)) are prime. A342960

Numbers k such that there exists i >= 1 such that k divides 3³^i - 1. A367265

Primes p such that the equation σ(x) = p has no solution. A70957