Properties of the Number 9257

Nine Thousand Two Hundred Fifty-Seven

Basics

Value: 9256 → 9257 → 9258

Parity: odd

Prime: Yes

Previous Prime: 9241

Next Prime: 9277

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 9257

Divisors: 1, 9257

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10010000101001

Octal: 22051

Duodecimal: 5435

Hexadecimal: 2429

Square: 85692049

Square Root: 96.21330469326995

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 rucksack partitions of n: every consecutive constant subsequence has a different sum. A353864

Primes with first digit 9. A45715

Lower prime of a difference of 20 between consecutive primes. A31938

T(n,k)=Number of length n 0..k arrays with each partial sum starting from the beginning no more than sqrt(2) standard deviations from its mean. A244903

a(1) = 1, a(n+1) is the sum of a(n) and floor( arithmetic mean of a(1) ... a(n) ). A65094

Number of non-isomorphic multiset partitions of weight n in which both the multiset union of the parts and the multiset union of the dual parts are aperiodic. A320800

Largest prime < n³. A77037

Primes p of the form 4k+1 for which s=13 is the least positive integer such that sp-(floor(sqrt(sp)))² is a square. A145048

Triangle defined by g.f. A(x,y) = exp( ∑_n>=1 xⁿ/n * ∑_k=0..n binomial(n·k, k²) * y^k ), as read by rows. A228904

T(n,k)=Number of nXk integer arrays with each element equal to the number of horizontal, vertical, diagonal and antidiagonal neighbors exactly one smaller than itself. A266067