Properties of the Number 10844

Ten Thousand Eight Hundred Forty-Four

Basics

Value: 10843 → 10844 → 10845

Parity: even

Prime: No

Previous Prime: 10837

Next Prime: 10847

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 ² × 2711

Divisors: 1, 2, 4, 2711, 5422, 10844

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101001011100

Octal: 25134

Duodecimal: 6338

Hexadecimal: 2a5c

Square: 117592336

Square Root: 104.1345283755585

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

Coordination sequence for (2,4,5) tiling of hyperbolic plane. A265060

Number of integer partitions of n whose weak run-sums cover an initial interval of nonnegative integers. A353863

Number of partitions p of n such that (maximal multiplicity of the parts of p) = (maximal part of p). A240312

Number of 7/3+-power-free words over the alphabet {0,1}. A82380

Number of partitions of n that have even-sized Ferrers matrix. A238945

a(n) = ∑_i=1..n (-1)ⁱ⁺¹ prime(i)², where prime(k) denotes the k-th prime: alternating sum of the squares of the first n primes. A240860

Number of partitions of n with equal nonzero number of parts congruent to each of 0, 2 and 3 (mod 4). A46780

Trajectory of 1001 under "3x+1" map. A100709

a(2·n) = n·a(n); a(2·n+1) = n·a(n) + a(n+1), with a(1) = 1. A176528

Numbers that are not the difference of two binary palindromes (A006995). A290393