Properties of the Number 6957

Six Thousand Nine Hundred Fifty-Seven

Basics

Value: 6956 → 6957 → 6958

Parity: odd

Prime: No

Previous Prime: 6949

Next Prime: 6959

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 773

Divisors: 1, 3, 9, 773, 2319, 6957

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101100101101

Octal: 15455

Duodecimal: 4039

Hexadecimal: 1b2d

Square: 48399849

Square Root: 83.40863264674707

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 primes between n·100000 and (n+1)*100000. A38825

Bases b where exactly six primes p with p < b exist such that p is a base-b Wieferich prime. A325882

Partial sums of A002522, starting at n=1. A145066

Number of compositions of n with weakly increasing first quotients. A342492

Number of compositions (ordered partitions) of n into at most 6 prime parts. A347743

Number of edges in an equilateral triangle when n internal equilateral triangles are drawn between the 3n points that divide each side into n+1 equal parts. A357008

Odd composites k such that σ(k) has the same powerful part as k, where σ is the sum of divisors function. A386425

Numbers of the form 68+p² (where p is a prime). A138691

G.f.: A(x) = ∑_n=-oo..+oo (x - xⁿ)ⁿ. A290003

Numbers k for which the 3-adic valuations of k and σ(k) are equal, and that also satisfy Euler's criterion for odd perfect numbers (see A228058). A349755