Properties of the Number 19957

Nineteen Thousand Nine Hundred Fifty-Seven

Basics

Value: 19956 → 19957 → 19958

Parity: odd

Prime: No

Previous Prime: 19949

Next Prime: 19961

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 7 × 2851

Divisors: 1, 7, 2851, 19957

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100110111110101

Octal: 46765

Duodecimal: B671

Hexadecimal: 4df5

Square: 398281849

Square Root: 141.2692464763651

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 partitions of n such that (number parts having multiplicity 1) is a part and (number of 1s) is a part. A241506

T(n,k)=Number of (n+3)X(k+3) binary arrays with no more than one of any consecutive four bits set in any row or column. A203048

Number of endofunctions on [n] whose cycle lengths are squares. A273997

Number of (n+3) X 4 binary arrays with no more than one of any consecutive four bits set in any row or column. A203041

Number of (n+3)X8 binary arrays with no more than one of any consecutive four bits set in any row or column. A203045

Number of length 4+3 0..n arrays with every four consecutive terms having the sum of some three elements equal to three times the fourth. A248541

Partial sums of orders of finite perfect groups (A060793). A121513

T(n,k)=Number of length n+3 0..k arrays with every four consecutive terms having the sum of some three elements equal to three times the fourth. A248537

G.f. A(x) satisfies: [x^n-1] 1/A(x)^n² = 0 for n>2. A292877

Decimal expansion of tangent of 59 degrees. A19957