Properties of the Number 6952

Six Thousand Nine Hundred Fifty-Two

Basics

Value: 6951 → 6952 → 6953

Parity: even

Prime: No

Previous Prime: 6949

Next Prime: 6959

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ³ × 11 × 79

Divisors: 1, 2, 4, 8, 11, 22, 44, 79, 88, 158

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101100101000

Octal: 15450

Duodecimal: 4034

Hexadecimal: 1b28

Square: 48330304

Square Root: 83.37865434270333

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 integer partitions of n with an alternating permutation. A345170

Number of integer partitions of n with a permutation that has no consecutive monotone triple, i.e., no triple (..., x, y, z, ...) such that either x <= y <= z or x >= y >= z. A344740

Number of representations of n as a sum of products of distinct pairs of positive integers, considered to be equivalent when terms or factors are reordered. A211856

Total number of parts in all partitions of n into prime parts. A84993

Number of non-strict integer partitions of n that are constant or whose part multiplicities, except possibly the first and last, are all even. A349795

T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 0 0 and 1 1 1 vertically. A207895

T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the minimum plus the upper median equal to the lower median plus the maximum in every 2X2 subblock. A235893

Numbers which are representable as a sum of eleven but no fewer consecutive nonnegative integers. A270299

T(n,k)=Number of n-step one or two space at a time bishop's tours on a kXk board summed over all starting positions. A187046

Expansion of q * (χ(-q) / χ(-q³))¹² in powers of q where χ() is a Ramanujan θ function. A226235