Properties of the Number 10959

Ten Thousand Nine Hundred Fifty-Nine

Basics

Value: 10958 → 10959 → 10960

Parity: odd

Prime: No

Previous Prime: 10957

Next Prime: 10973

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 13 × 281

Divisors: 1, 3, 13, 39, 281, 843, 3653, 10959

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101011001111

Octal: 25317

Duodecimal: 6413

Hexadecimal: 2acf

Square: 120099681

Square Root: 104.68524251297315

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

Values·for records of minima of the positive distance d between the seventh power of a positive integer·and the square of an integer y such that d = x⁷ - y² (x <> k² and y <> k⁷). A179785

Rectangular table, read by antidiagonals, such that the o.g.f. of row n, R_n(y), satisfies: R_n(y) = ∑_k>=0 y^k * R_k(y)ⁿ for n>=0, with R₀(y) = 1/(1-y). A124460

T(n,k)=Number of 0..k arrays x(0..n-1) of n elements with each no smaller than the sum of its three previous neighbors modulo (k+1). A200668

a(n) is the number of partitions of 3n that can be obtained by adding together three (not necessarily distinct) partitions of n. A2220

Row 1 of rectangular table A124460; also equals the antidiagonal sums of table A124460. A124461

Number of days after Jan 01 1000 such that the date written in the format DDMMYYYY is palindromic. A210885

Partial sums of A026905; the convolution of the natural numbers with the partition function. A85360

Fibonacci quotients: Fibonacci(p - Legendre(p∣5))/p where p runs through the primes. A92330

Number of partitions p of n such that 4·min(p) is a part of p. A238591

Floor(r·a(n-1)) - floor(r·a(n-2)), where r = 3/2, a(0) = 1, a(1) = 1. A275865