Properties of the Number 21249

Twenty-One Thousand Two Hundred Forty-Nine

Basics

Value: 21248 → 21249 → 21250

Parity: odd

Prime: No

Previous Prime: 21247

Next Prime: 21269

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 787

Divisors: 1, 3, 9, 27, 787, 2361, 7083, 21249

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 101001100000001

Octal: 51401

Duodecimal: 10369

Hexadecimal: 5301

Square: 451520001

Square Root: 145.7703673590761

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

Number of strict integer partitions of 2·n with no subset summing to n. A321142

Number of symmetric plane partitions of n. A5987

Cubeful numbers whose neighbors are also cubeful. A122692

O.g.f. satisfies A⁴(z) = 1/(1 - z)*( BINOMIAL(BINOMIAL(A(z))) )³. A258379

Numbers with 3 or more prime factors (with multiplicity) such that every concatenation of their prime factors is prime. A217264

Numbers with 4 or more prime factors (with multiplicity) such that every concatenation of their prime factors is prime. A217265

a(n) is the number of unlabeled rank-3 graded lattices with 4 coatoms and n atoms. A322599

a(n) = 34·n² - 1. A158588

Records in A353717. A353722

a(n) = 625·n - 1. A158374