Properties of the Number 10655

Ten Thousand Six Hundred Fifty-Five

Basics

Value: 10654 → 10655 → 10656

Parity: odd

Prime: No

Previous Prime: 10651

Next Prime: 10657

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 5 × 2131

Divisors: 1, 5, 2131, 10655

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10100110011111

Octal: 24637

Duodecimal: 61BB

Hexadecimal: 299f

Square: 113529025

Square Root: 103.22305943925514

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

Smallest fixed point summed over all non-derangement permutations of {1,2,...,n}. A155521

Irregular triangle read by rows: T(n,k) is the number of n-permutations whose second-shortest cycle has length exactly k; n >= 0, 0 <= k <= max(0,n-1). A349980

a(n) = n³ + 7. A84377

Number of partitions of n with even number (or 0) 2's. A92295

Expansion of ∏_k>=1 (1 + x^k²) * (1 + x^k). A369570

a(n) = 288·n - 1. A157997

a(n) = 74·n² - 1. A158744

Triangular array read by rows. T(n,k) is the number of n-permutations that have at least k fixed points with n >= 1 and 1 <= k <= n. A208956

The number of L-shaped corners in all bargraphs of semiperimeter n. A273718

Indices of primes in sequence defined by A(0) = 43, A(n) = 10·A(n-1) - 7 for n > 0. A101720