Properties of the Number 21824

Twenty-One Thousand Eight Hundred Twenty-Four

Basics

Value: 21823 → 21824 → 21825

Parity: even

Prime: No

Previous Prime: 21821

Next Prime: 21839

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 ⁶ × 11 × 31

Divisors: 1, 2, 4, 8, 11, 16, 22, 31, 32, 44

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 101010101000000

Octal: 52500

Duodecimal: 10768

Hexadecimal: 5540

Square: 476286976

Square Root: 147.7294825009551

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

a(n) = floor(n*φ¹⁵), where φ is the golden ratio, A001622. A4930

Numbers with exactly 2 odd integers in their Collatz (or 3x+1) trajectory. A62052

Numbers which are the sum of two positive cubes and divisible by 11. A101852

Number of rectangular twice-partitions of n of type (P,R,P). A358833

Let sigma_m (n) be result of applying sum-of-divisors function m times to n; call n (m,k)-perfect if sigma_m (n) = k·n; sequence gives the (4,k)-perfect numbers. A19293

Numbers which are the sum of two positive cubes and divisible by 31. A102658

Number of partitions into a triangular number of parts. A178927

a(n) = 2·n*(n+1)*(n+2)/3. A210440

Decimal representation of the x-axis, from the left edge to the origin, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 177", based on the 5-celled von Neumann neighborhood. A279603

Decimal representation of the x-axis, from the origin to the right edge, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 809", based on the 5-celled von Neumann neighborhood. A284178