Properties of the Number 30750

Thirty Thousand Seven Hundred Fifty

Basics

Value: 30749 → 30750 → 30751

Parity: even

Prime: No

Previous Prime: 30727

Next Prime: 30757

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 5 ³ × 41

Divisors: 1, 2, 3, 5, 6, 10, 15, 25, 30, 41

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111100000011110

Octal: 74036

Duodecimal: 15966

Hexadecimal: 781e

Square: 945562500

Square Root: 175.35677916750183

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

Expansion of ∏_m>=1 (1+q^m)^-3. A22598

McKay-Thompson series of class 32a for the Monster group. A107635

Number of zig-zag paths from top to bottom of a rectangle of width 9 with n rows whose color is not that of the top right corner. A153364

Number of zig-zag paths from top to bottom of a rectangle of width 9 with 2n-1 rows whose color is not that of the top right corner. A153367

Number of partitions of n with equal nonzero number of parts congruent to each of 1 and 3 (mod 4). A35550

Number A(n,k) of n X n Fishburn matrices with entries in the set {0,1,...,k}; square array A(n,k), n>=0, k>=0, read by antidiagonals. A369415

Integers i such that 9·i = 25 X i, but 17·i is not 49 X i. A115811

Number of 3 X 3 Fishburn matrices with entries in the set {0,1,...,n}. A369423

Smallest k such that n⁸+k⁸, n⁴+k⁴, n²+k², n+k are simultaneously prime. A71564

The number of 2 X 2 symmetric positive definite matrices whose entries are integers x,y,z satisfying x² + y² + z² <= n². A219744