Properties of the Number 19975

Nineteen Thousand Nine Hundred Seventy-Five

Basics

Value: 19974 → 19975 → 19976

Parity: odd

Prime: No

Previous Prime: 19973

Next Prime: 19979

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 5 ² × 17 × 47

Divisors: 1, 5, 17, 25, 47, 85, 235, 425, 799, 1175

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100111000000111

Octal: 47007

Duodecimal: B687

Hexadecimal: 4e07

Square: 399000625

Square Root: 141.3329402510257

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

Triangle read by rows: T(n,k) (n>=1; 1<=k<=n) is the number of permutations of [n] in which the longest increasing run has length k. A8304

Number of permutations of [n] in which the longest increasing run has length 3. A402

Positions of 3's in A234323. A234804

Primitive terms of A389634. A389635

Lower triangular matrix T with first column and diagonal (1,2,3,4,...,n,...) and otherwise satisfying T(i,j) = ∑_k=1..j T(i-j+1,k)*T(j,k), read by rows. A135835

Column three of the triangular matrix in A135835. A135836

Number of partitions into non-integral powers. A298

Coefficient of q-series for constant term of Tate curve. A122162

Number of triples 0 <= i, j, k < n such that bitwise AND of i, j, k is 0. A269589

The simple continued fraction expansion of F(x) := ∏_{n >= 0} (1 - x^4·n+3)/(1 - x^4·n+1) when x = 1/2*(3 - sqrt(5)). A221364