Properties of the Number 1331

One Thousand Three Hundred Thirty-One

Basics

Value: 1330 → 1331 → 1332

Parity: odd

Prime: No

Previous Prime: 1327

Next Prime: 1361

Digit Sum: 8

Digital Root: 8

Palindrome: Yes

Factorization: 11 ³

Divisors: 1, 11, 121, 1331

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100110011

Octal: 2463

Duodecimal: 92B

Hexadecimal: 533

Square: 1771561

Square Root: 36.4828726939094

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

The cubes: a(n) = n³. A578

Perfect powers: m^k where m > 0 and k >= 2. A1597

1 and the prime powers p^m where m >= 2, thus excluding the primes. A25475

Cubes of primes. A30078

a(n) = n + (n+1)². A28387

Prime powers p^e where p is a prime and e >= 2 (prime powers without the primes or 1). A246547

3-full (or cube-full, or cubefull) numbers: if a prime p divides n then so does p³. A36966

Powers of 11: a(n) = 11ⁿ. A1020

Prime shift array: Square array read by antidiagonals: A(1,col) = 2·col, and for row > 1, A(row,col) = A003961(A(row-1,col)). A246278

Number of partitions of n into distinct and relatively prime parts. A78374