Properties of the Number 11749

Eleven Thousand Seven Hundred Forty-Nine

Basics

Value: 11748 → 11749 → 11750

Parity: odd

Prime: No

Previous Prime: 11743

Next Prime: 11777

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 31 × 379

Divisors: 1, 31, 379, 11749

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10110111100101

Octal: 26745

Duodecimal: 6971

Hexadecimal: 2de5

Square: 138039001

Square Root: 108.39280418920806

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 maximal intersecting antichains of subsets of {1..n}. A326363

a(n) = 6·n² + 3·n + 1. A85473

Expansion of g.f. A(x) satisfying ∑_n=-oo..+oo (-1)ⁿ * (xⁿ + 10·A(x))ⁿ = 1 + 12*∑_n>=1 (-1)ⁿ * x^n². A370042

Number of partitions p of n such that 2*(number of even numbers in p) = (number of odd numbers in p). A241653

Solution of the complementary equation a(n) = a(n-1) + a(n-2) + b(n) + n, where a(0) = 1, a(1) = 2, b(0) = 3, b(1) = 4, b(2) = 5, and (a(n)) and (b(n)) are increasing complementary sequences. A296555

Number of permutations p of [n] whose absolute displacements |p(i)-i| are square numbers. A324375

Truncated hex numbers: a(n) = 24·n² + 6·n + 1. A381424

Denominators of continued fraction convergents to sqrt(292). A41549

Record indices of the ratio A002375(n) / n (Goldbach conjecture related). A137820

Partial sums of A023200. A172112