Properties of the Number 1957

One Thousand Nine Hundred Fifty-Seven

Basics

Value: 1956 → 1957 → 1958

Parity: odd

Prime: No

Previous Prime: 1951

Next Prime: 1973

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 19 × 103

Divisors: 1, 19, 103, 1957

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11110100101

Octal: 3645

Duodecimal: 1171

Hexadecimal: 7a5

Square: 3829849

Square Root: 44.23799272118933

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

Total number of ordered k-tuples (k=0..n) of distinct elements from an n-element set: a(n) = ∑_k=0..n n!/k!. A522

Number of "ON" cells at n-th stage in the "Ulam-Warburton" two-dimensional cellular automaton. A147562

Number of complete partitions of n. A126796

-1 + number of partitions of n. A65

Number of (weakly) unimodal compositions of n where all parts 1, 2, ..., m appear where m is the largest part. A227038

Number of integer compositions of n with all equal run-sums. A353851

Numerator of ∑_k=0..n 1/k!. A61354

Multiples of 19 containing a 19 in their decimal representation. A121039

Fundamental discriminants of real quadratic number fields with class number 3. A94612

Number of semi-sums of strict integer partitions of n. A366741