Properties of the Number 5675

Five Thousand Six Hundred Seventy-Five

Basics

Value: 5674 → 5675 → 5676

Parity: odd

Prime: No

Previous Prime: 5669

Next Prime: 5683

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 5 ² × 227

Divisors: 1, 5, 25, 227, 1135, 5675

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011000101011

Octal: 13053

Duodecimal: 334B

Hexadecimal: 162b

Square: 32205625

Square Root: 75.33259586659682

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 perfect-power divisors of n!. A336416

Triangle read by rows: numerators of Cotesian numbers C(n,k) (0 <= k <= n). A100640

Number of partitions p of n such that (number of numbers in p of form 3k+1) < (number of numbers in p of form 3k+2). A241737

T(n,k)=Number of nXk 0..1 arrays with no 1 equal to more than two of its king-move neighbors. A282528

Numbers m such that A000041(m) is of the form 2⁷ * k for odd k. A278784

Square array A(n,k), n>=0, k>=0, read by antidiagonals, where column k is the expansion of ∏_j>=1 (1 - j^k*x^j). A292166

Number of monic polynomials with integer coefficients of degree n with all roots in unit disc. A51894

Table T(n,k), n>=1 and k>=0, read by antidiagonals, related to A111146. A113326

a(n) = ∑_k=0..n 5^k*A111146(n,k). A113330

Positive integers of the form (6·m² + 1)/11. A179337