Properties of the Number 10731

Ten Thousand Seven Hundred Thirty-One

Basics

Value: 10730 → 10731 → 10732

Parity: odd

Prime: No

Previous Prime: 10729

Next Prime: 10733

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 3 × 7 ² × 73

Divisors: 1, 3, 7, 21, 49, 73, 147, 219, 511, 1533

Polygonal

Triangular: Yes

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100111101011

Octal: 24753

Duodecimal: 6263

Hexadecimal: 29eb

Square: 115154361

Square Root: 103.59054010864119

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) = (2·n-1)*(4·n-1). A33567

Triangular numbers which are the average of two consecutive primes. A130178

Least triangular n-gonal number greater than 1, or 0 if none exists. A188891

Number of partitions of n such that (greatest part) + (least part) < number of parts. A237822

Number of partitions of n into parts not of the form 7k, 7k+3 or 7k-3. Also number of partitions such that the differences between parts at distance 2 are greater than 1. A35939

Numbers which are both lucky and triangular. A118565

Triangular numbers t which are average of two consecutive primes p and p+4. A129752

Numbers n such that n⁶ + 272 is prime. A161998

Lucky numbers with size of gaps equal to 16 (lower terms). A31898

Triangular numbers with property that swapping first and last digits also gives a triangular number. A69708