Properties of the Number 1357

One Thousand Three Hundred Fifty-Seven

Basics

Value: 1356 → 1357 → 1358

Parity: odd

Prime: No

Previous Prime: 1327

Next Prime: 1361

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 23 × 59

Divisors: 1, 23, 59, 1357

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101001101

Octal: 2515

Duodecimal: 951

Hexadecimal: 54d

Square: 1841449

Square Root: 36.837480912787726

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

Generalized heptagonal numbers: m*(5·m - 3)/2, m = 0, +-1, +-2 +-3, ... A85787

Number of integer partitions of n having a unique part of least multiplicity. A362610

Number of superdiagonal partitions: partitions (p1, p2, p3, ...) of n such that π >= i. A238873

Second heptagonal numbers: a(n) = n*(5·n+3)/2. A147875

Number of lattice points inside the ball x² + y² + z² <= n. A117609

Row sums of A078939. A78945

Number of multisets summing to n that are the first sums of some nonempty multiset. A390446

Powers of cube root of 22 rounded up. A18041

Position of n-th prime in A064413. A64955

Values of n such that L(11) and N(11) are both prime, where L(k) = (n²+n+1)*2^2·k + (2·n+1)*2^k + 1, N(k) = (n²+n+1)*2^k + n. A227449