Properties of the Number 9952

Nine Thousand Nine Hundred Fifty-Two

Basics

Value: 9951 → 9952 → 9953

Parity: even

Prime: No

Previous Prime: 9949

Next Prime: 9967

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 ⁵ × 311

Divisors: 1, 2, 4, 8, 16, 32, 311, 622, 1244, 2488

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011011100000

Octal: 23340

Duodecimal: 5914

Hexadecimal: 26e0

Square: 99042304

Square Root: 99.75971130671941

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 partitions of at most n into at most 5 parts. A2622

22-gonal numbers: a(n) = n*(10·n-9). A51874

Number of hypertrees with n labeled vertices: analog of A030019 when edges of size 1 are allowed (with no two equal edges). A134958

Number of multisets summing to n that do not contain 1 and are not the first sums of any multiset. A390431

Number of permutations of length n which avoid the patterns 321, 2143, 3124; or avoid the patterns 132, 2314, 4312, etc. A116731

Matula-Goebel numbers of rooted trees in which all positive outdegrees are the same. A298424

Number of integer partitions whose sum of primes of parts equals their sum of parts plus n. A331387

a(n) is the smallest positive d such that the n-th prime is the smallest prime p for which p+d is also prime. A101042

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

A101042 sorted. There exists a prime p for which a(n) is the smallest positive d such that p is the smallest prime where p+d is also prime. A101043