Properties of the Number 10821

Ten Thousand Eight Hundred Twenty-One

Basics

Value: 10820 → 10821 → 10822

Parity: odd

Prime: No

Previous Prime: 10799

Next Prime: 10831

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 3 × 3607

Divisors: 1, 3, 3607, 10821

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101001000101

Octal: 25105

Duodecimal: 6319

Hexadecimal: 2a45

Square: 117094041

Square Root: 104.02403568406679

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

Expansion of e.g.f.: exp(∑_k>=1 k² * x^k). A255807

G.f.: exp( ∑_n>=1 xⁿ/n * ∏_d∣n (1 + d·xⁿ)^d ). A205482

Square array A(n,k), n >= 0, k >= 1, read by antidiagonals, where column k is the expansion of e.g.f. exp(∑_j=1..k j²*x^j). A293724

Numbers that match polynomials over {0,1} that have a factor containing 3 as a coefficient; see Comments. A208181

Numbers that match polynomials over {0,1} that have a factor containing -3 as a coefficient; see Comments. A208182

Convolution of natural numbers n >= 1 with Fibonacci numbers F(k), for k >= 5. A37140

Number of compositions (ordered partitions) of n into hexagonal pyramidal numbers (A002412). A322854

a(n) is the number of regions formed by n-secting the angles of a decagon. A335800

Symmetric square table of coefficients, read by antidiagonals, where T(n,k) is the coefficient of xⁿ*y^k in f(x,y) that satisfies f(x,y) = (1-xy)/[(1-x)(1-y)] + xy·f(x,y)³. A86626

Main diagonal of square table A086626 of coefficients of xⁿ*y^k in f(x,y) that satisfies f(x,y) = (1-xy)/[(1-x)(1-y)] + xy·f(x,y)³. A86627