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Properties of the Number 10824

Ten Thousand Eight Hundred Twenty-Four

Basics

Value: 10823 → 10824 → 10825

Parity: even

Prime: No

Previous Prime: 10799

Next Prime: 10831

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 3 × 3 × 11 × 41

Divisors: 1, 2, 3, 4, 6, 8, 11, 12, 22, 24

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10101001001000

Octal: 25110

Duodecimal: 6320

Hexadecimal: 2a48

Square: 117158976

Square Root: 104.03845442911962

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

Numbers k such that σ(k) divides σ(σ(k)). A66961
Number of n-bead bracelets (turnover necklaces) with 8 red beads and n-8 black beads. A5514
Unitary superperfect numbers: numbers n such that usigma(usigma(n)) = 2·n, where usigma(n) is the sum of unitary divisors of n (A034448). A38843
T(n,k)=Number of nXk 0..2 arrays with rows in nondecreasing lexicographic order and columns in nonincreasing lexicographic order, but with exactly two mistakes. A278634
Numbers k such that the odd part of σ(σ(k)) is equal to the odd part of σ(k). A353365
Number of partitions into non-integral powers. A148
Number of partitions of n into an equal number of prime and composite parts. A116449
Numbers such that σ(n)2 is divisible by UnitarySigma(n)*UnitaryPhi(n). A121556
Number of reduced 3 X 3 magilatin squares with magic sum n. A174020
Number of nonequivalent (mod D8) ways to place 3 points on an n X n point grid so that no point is equally distant from two other points on the same row or the same column. A296996