Properties of the Number 21346

Twenty-One Thousand Three Hundred Forty-Six

Basics

Value: 21345 → 21346 → 21347

Parity: even

Prime: No

Previous Prime: 21341

Next Prime: 21347

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 × 13 × 821

Divisors: 1, 2, 13, 26, 821, 1642, 10673, 21346

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 101001101100010

Octal: 51542

Duodecimal: 1042A

Hexadecimal: 5362

Square: 455651716

Square Root: 146.102703602637

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

Expansion of ψ(-q³) / f(q) where ψ(), f() are Ramanujan θ functions. A139135

Numbers k such that k+1, k²+1 and k⁴+1 are primes. A70325

Expansion of q^-1/3 * η(q⁶)² / (η(q) * η(q³)) in powers of q. A97197

Number of distinct products i·j*k·l for 1 <= i <= j <= k <= l <= n. A100437

Number of partitions of n with equal number of parts congruent to each of 1, 2 and 3 (mod 4). A46769

Number of partitions of n with equal nonzero number of parts congruent to each of 1, 2 and 3 (mod 4). A46781

Number of (n+2) X (5+2) 0..3 arrays with every 3 X 3 subblock row and column sum not 2 3 6 or 7 and every diagonal and antidiagonal sum 2 3 6 or 7. A251891

Start with a 2 X n array of squares, join every vertex on top edge to every vertex on bottom edge; a(n) = one-half the number of cells. A355902

Number of graphs on n nodes with 3 cliques. A5289

Numbers k such that the continued fraction for sqrt(k) has period 47. A20386