Properties of the Number 10757

Ten Thousand Seven Hundred Fifty-Seven

Basics

Value: 10756 → 10757 → 10758

Parity: odd

Prime: No

Previous Prime: 10753

Next Prime: 10771

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 31 × 347

Divisors: 1, 31, 347, 10757

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101000000101

Octal: 25005

Duodecimal: 6285

Hexadecimal: 2a05

Square: 115713049

Square Root: 103.7159582706538

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 T(n,k) of occurrences of k in a (signed) displacement set of a permutation of [n] divided by |k|!; triangle T(n,k), n>=1, 1-n<=k<=n-1, read by rows. A306234

Total number of occurrences of k in the (signed) displacement sets of all permutations of [n+k] divided by k!; square array A(n,k), n>=0, k>=0, read by antidiagonals. A324362

Total number of occurrences of 2 in the (signed) displacement sets of all permutations of [n+2] divided by 2!. A324352

Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 12. A50961

Infinite sum of the odd numbers, compacted (see the Comments line for an explanation). A337097

Square array A(row,col) read by antidiagonals: A(1,col) = A055938(col), and for row > 1, A(row,col) = A005187(A(row-1,col)). A256997

a(n) = [xⁿ] ∏_k=1..n 1/(1 - x^k)^n-k+1. A206228

Sum along upward diagonal of Pascal triangle from center. A10757