Properties of the Number 10966

Ten Thousand Nine Hundred Sixty-Six

Basics

Value: 10965 → 10966 → 10967

Parity: even

Prime: No

Previous Prime: 10957

Next Prime: 10973

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 × 5483

Divisors: 1, 2, 5483, 10966

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101011010110

Octal: 25326

Duodecimal: 641A

Hexadecimal: 2ad6

Square: 120253156

Square Root: 104.71867073258713

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

Triangle T(n, k, m) = (m*(n-k) + 1)*T(n-1, k-1, m) + (m·k + 1)*T(n-1, k, m) - m·k*(n-k)*T(n-2, k-1, m) with T(n, 0, m) = T(n, n, m) = 1 and m = 1, read by rows. A157152

Number of necklaces with 6 black beads and n-6 white beads. A32191

a(n) = n + Fibonacci(n+1). A81659

Molien series for 3-D group X1. A37240

Number of partitions p of n such that the number of numbers having multiplicity 1 in p is a part of p. A241413

Number of subsets of [n] whose sum is a triangular number. A284250

Number of subsets of 6 integers between 1 and n such that their sum is 0 modulo n. A381289

a(n) = least m such that if r and s in {1/1, 1/3, 1/5, ..., 1/(2n-1)} satisfy r < s, then r < k/m < (k+2)/m < s for some integer k. A24841

Numerator of Sum[ Prime[k]², {k,1,n}] / Product[ Prime[k], {k,1,n}] = Numerator[ A024450[n] / A002110[n] ]. A122136

a(n) = (n⁴ + 46·n³ - 169·n² + 146·n + 24)/24. A143059