Properties of the Number 10492

Ten Thousand Four Hundred Ninety-Two

Basics

Value: 10491 → 10492 → 10493

Parity: even

Prime: No

Previous Prime: 10487

Next Prime: 10499

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 ² × 43 × 61

Divisors: 1, 2, 4, 43, 61, 86, 122, 172, 244, 2623

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 10100011111100

Octal: 24374

Duodecimal: 60A4

Hexadecimal: 28fc

Square: 110082064

Square Root: 102.43046421841503

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

Sort-then-add sequence: a(n+1) = a(n) + sort(a(n)). A33860

Number of binary sequences of length n containing exactly one subsequence 010. A118430

Expansion of x/((1-x)³*(1-x²)³*(1-x³)). A164680

Number of permutations p of [n] such that |p(i) - p(i-1)| is in {1,3} for all i from 2 to n. A302118

Table read by rows: T(n,k) = number of k-sided polygons in an equal-armed cross with arms of length n (see Comments in A331456 for definition) for k = 3,4,5,6,7. A333037

Triangle read by rows: T(n,k) is the number of binary sequences of length n containing k subsequences 010 (n,k >= 0). A118429

Expansion of g.f. A(x) satisfying A(x) = 1 + x*(A(x)² - A(-x)²)/2 + x*(A(x)⁴ + A(-x)⁴)/2. A368628

Expansion of ∏_k>=1 (1 - ∑_j>=1 j·x^k·j). A329157

Consider a square drawn on the perimeter of a square lattice with side length n. a(n) is the number of regions inside the square after drawing unit circles centered at each interior lattice point of the square. A339623

Sort then Add, a(1)=25. A33902