Properties of the Number 21024

Twenty-One Thousand Twenty-Four

Basics

Value: 21023 → 21024 → 21025

Parity: even

Prime: No

Previous Prime: 21023

Next Prime: 21031

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 2 ⁵ × 3 ² × 73

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 101001000100000

Octal: 51040

Duodecimal: 10200

Hexadecimal: 5220

Square: 442008576

Square Root: 144.99655168313487

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

T(n,k) = number of (n+2) X (k+2) binary matrices with every 3 X 3 block having exactly four 1's. A181262

Numbers m such that the smallest digit in the decimal expansion of 1/m is 4, ignoring leading and trailing 0's. A352158

Product of n with sum of next n consecutive integers. A36659

Expansion of ∏_k>=1 ((1 - k·x^k) / (1 - x^k)). A267005

Number of partitions of n into 8 or more distinct parts. A347575

a(n) = Pell(n)*A008655(n) for n>=1, with a(0)=1, where A008655 lists the coefficients in (theta₃(x)*theta₃(3·x)+theta₂(x)*theta₂(3·x))⁴. A209448

Least number k such that the determinant of the symmetric Toeplitz matrix formed by its decimal digits is equal to n. A307887

Engel expansion of sinh(1/2). A68379

Expansion of (χ(-x) * χ(-x³))^-3 in powers of·where χ() is a Ramanujan θ function. A229180

Square rings obtained by adding four identical cuboids from A169938, a(n) = 4·n*(n+1)*(n*(n+1)+1). A288486