Properties of the Number 10875

Ten Thousand Eight Hundred Seventy-Five

Basics

Value: 10874 → 10875 → 10876

Parity: odd

Prime: No

Previous Prime: 10867

Next Prime: 10883

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 5 ³ × 29

Divisors: 1, 3, 5, 15, 25, 29, 75, 87, 125, 145

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101001111011

Octal: 25173

Duodecimal: 6363

Hexadecimal: 2a7b

Square: 118265625

Square Root: 104.28326807307106

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

Numbers n that are the hypotenuse of exactly 10 distinct integer-sided right triangles, i.e., n² can be written as a sum of two squares in 10 ways. A97225

Numbers m such that there are precisely 7 groups of order m. A249550

Numbers n such that n!! - 2 is prime. A94144

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction. A250898

Successive integers produced by Conway's PRIMEGAME. A7542

Expansion of (-1 + ∏_k>=1 1 / (1 + (-x)^k))³. A341241

Number of permutations of n distinct letters (ABCD...) each of which appears 5 times and having n-2 fixed points. A123296

Successive integers produced by Conway's PRIMEGAME, starting with 3 rather than 2. A185242

Difference between the arithmetic derivative of A276086(n) and A276086(n) itself, which is the prime product form of primorial base expansion of n. A342016

Expansion of x³*(5-2·x)*(1-x³)/(1-x)⁴. A338