Properties of the Number 10879

Ten Thousand Eight Hundred Seventy-Nine

Basics

Value: 10878 → 10879 → 10880

Parity: odd

Prime: No

Previous Prime: 10867

Next Prime: 10883

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 11 × 23 × 43

Divisors: 1, 11, 23, 43, 253, 473, 989, 10879

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101001111111

Octal: 25177

Duodecimal: 6367

Hexadecimal: 2a7f

Square: 118352641

Square Root: 104.30244484191154

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

Octagonal pyramidal numbers: a(n) = n*(n+1)*(2·n-1)/2. A2414

4-dimensional analog of centered polygonal numbers. Also number of regions created by sides and diagonals of a convex n-gon in general position. A6522

Partial sums of the large Schroeder numbers (A006318). A86616

a(n) = binomial(n,3) - binomial(floor(n/2),3) - binomial(ceiling(n/2),3). A111384

G.f.: ∑_n>=0 ∏_k=1..n (q^k - 1) where q = (1+x)/(1+x³). A207386

Numbers k such that gcd(3k,8^k+1) = 3 but k does not divide the numerator of B(2k) (the Bernoulli numbers). A70193

a(n) = floor(C(n+6,6)/C(n+2,2)). A84626

Number of partitions p of n such that the number of distinct parts is not a part and max(p) - min(p) is not a part. A241390

a(n) = 8·n² - 2·n + 1. A185438

Number of unlabeled simple graphs with n edges rooted at two indistinguishable vertices. A339064