Properties of the Number 21464

Twenty-One Thousand Four Hundred Sixty-Four

Basics

Value: 21463 → 21464 → 21465

Parity: even

Prime: No

Previous Prime: 21433

Next Prime: 21467

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 ³ × 2683

Divisors: 1, 2, 4, 8, 2683, 5366, 10732, 21464

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 101001111011000

Octal: 51730

Duodecimal: 10508

Hexadecimal: 53d8

Square: 460703296

Square Root: 146.5059725744995

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 nXk 0..2 arrays with top left element 0, horizontal differences mod 3 never 1, vertical differences mod 3 never -1, and antidiagonal differences never 0. A229402

Number of ways to write n as an ordered sum of 8 nonprime numbers. A341485

n³+Smallest square, (Smallest square >= n³). A176581

Numbers k that divide the sum of the first k composite numbers. A53781

Numbers k such that k³ - b2 is a triangular number (A000217), where b2 is the largest square less than k³. A233401

G.f. A(x) satisfies: A(x) = (1 + x) * A(x²)*A(x³)*A(x⁵)* ... *A(x^prime(k))* ... A308272

Number of n X n 0..2 arrays with top left element 0, horizontal differences mod 3 never 1, vertical differences mod 3 never -1, and antidiagonal differences never 0. A229396

Number of n X 5 0..2 arrays with top left element 0, horizontal differences mod 3 never 1, vertical differences mod 3 never -1, and antidiagonal differences never 0. A229399

Number of ways 4 domicules can be placed on an n X n square. A243466

Expansion of 1/((1-x)(1-3x)(1-5x)(1-10x)). A21464