Properties of the Number 10555

Ten Thousand Five Hundred Fifty-Five

Basics

Value: 10554 → 10555 → 10556

Parity: odd

Prime: No

Previous Prime: 10531

Next Prime: 10559

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 5 × 2111

Divisors: 1, 5, 2111, 10555

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100100111011

Octal: 24473

Duodecimal: 6137

Hexadecimal: 293b

Square: 111408025

Square Root: 102.73752965688828

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

Number T(n,k) of parts in all proper k-times partitions of n into distinct parts; triangle T(n,k), n >= 1, 0 <= k <= max(0,n-2), read by rows. A327632

a(n) = ∑_k=3..n binomial(k-1,2) * floor(n/k). A366970

Composites in base 10 that remain composite in exactly five bases b, 2 <= b <= 10, expansions interpreted as decimal numbers. A256353

Numbers having three 5's in base 10. A43511

Number of 5-ascent sequences of length n with no consecutive repeated letters. A264910

Expansion of ∏_k>=1 (1 + x^3·k)^3·k / (1 + x^k)^k. A285294

Irregular triangle read by rows: T(n,k) is the number of flattened Catalan words of length n with exactly k symmetric valleys, with k >= 0. A372875

Numbers k such that R_k + 60 is prime, where R_k = 11...1 is the repunit (A002275) of length k. A256760

Number A(n,k) of k-ascent sequences of length n with no consecutive repeated letters; square array A(n,k), n>=0, k>=0, read by antidiagonals. A264909

Primes of the form m = 6ⁱ + 6^j - 1, where i > j >= 0. A239716