Properties of the Number 10575

Ten Thousand Five Hundred Seventy-Five

Basics

Value: 10574 → 10575 → 10576

Parity: odd

Prime: No

Previous Prime: 10567

Next Prime: 10589

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5 ² × 47

Divisors: 1, 3, 5, 9, 15, 25, 45, 47, 75, 141

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100101001111

Octal: 24517

Duodecimal: 6153

Hexadecimal: 294f

Square: 111830625

Square Root: 102.83481900601566

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 unimodal partitions/compositions of n into distinct terms. A72706

a(n) = p(1)p(n) + p(2)p(n-1) + ... + p(k)p(n+1-k), where k = [ (n+1)/2 ], p = A000040 = the primes. A24697

a(n) = p(1)p(n) + p(2)p(n-1) + ... + p(k)p(n-k+1), where k = [ n/2 ], p = A000040, the primes. A25129

Vampire numbers: (definition 1): n has a nontrivial factorization using n's digits. A20342

Triangle read by rows: T(n,k) = number of labeled acyclic digraphs with n nodes, containing exactly n+1-k points of in-degree zero (n >= 1, 1<=k<=n). A58876

Digitally balanced numbers in base 6: equal numbers of 0's, 1's, ..., 5's. A49357

a(n) = 9·n² - 13·n + 5. A214675

Row sums in A082259. A82261

a(n) = ∑_k=0..n f(k)*f(n-k) where f(k) = A002124(k). A2125

Triangle T(n, k, q) = ∑_j=0..10 q^j * floor( binomial(n+1,k)*binomial(n-1,k-1)/(2^j*(n+1)) ) for q = 1, read by rows. A174043