Properties of the Number 10835

Ten Thousand Eight Hundred Thirty-Five

Basics

Value: 10834 → 10835 → 10836

Parity: odd

Prime: No

Previous Prime: 10831

Next Prime: 10837

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 5 × 11 × 197

Divisors: 1, 5, 11, 55, 197, 985, 2167, 10835

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101001010011

Octal: 25123

Duodecimal: 632B

Hexadecimal: 2a53

Square: 117397225

Square Root: 104.09130607308182

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

Convolution of Fibonacci numbers and {F(2), F(3), F(4), ...}. A23610

a(n) is the solution to the postage stamp problem with 5 denominations and n stamps. A1210

Numbers that have 9 terms in their Zeckendorf representation. A179249

Bases b where exactly seven primes p with p < b exist such that p is a base-b Wieferich prime. A325883

Number of subwords of the form UUUU in nondecreasing Dyck paths of length 2n. A375995

Composite numbers k coprime to 8 such that k divides Pell(k - Kronecker(8,k)), Pell = A000129. A327651

G.f.: ∑_k>=0 x^k * ∏_j=1..5·k (1 + x^j)/(1 - x^j). A385091

Triangle T(n, k, q) = binomial(n, k) + qⁿ*binomial(n-2, k-1) - 1 with T(n, 0) = T(n, n) = 1 and q = 2, read by rows. A173046

a(n) = 6·n*(n-1) - 1. A103115

a(n) = ∑_k=2..n binomial(k,2) * floor(n/k). A366967

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