Properties of the Number 10544

Ten Thousand Five Hundred Forty-Four

Basics

Value: 10543 → 10544 → 10545

Parity: even

Prime: No

Previous Prime: 10531

Next Prime: 10559

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 ⁴ × 659

Divisors: 1, 2, 4, 8, 16, 659, 1318, 2636, 5272, 10544

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100100110000

Octal: 24460

Duodecimal: 6128

Hexadecimal: 2930

Square: 111175936

Square Root: 102.68398122394748

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 ∏_k>=1 ((1 + x^k)/(1 - x^k))^σ(k). A301555

T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock having the sum of the absolute values of the edge differences equal to 6. A233635

Numbers k such that k·2^m-1 are composites for all exponents m in the range 0<=m<=k. A61154

Numbers whose square starts with 4 identical digits. A132391

Triangle read by rows: T(n,k) (0 <= k <= n) is the number of Delannoy paths of length n, having k return steps to the line y = x from the line y = x+1 or from the line y = x-1 (i.e., E steps from the line y = x+1 to the line y = x or N steps from the line y = x-1 to the line y = x). A110107

Total number of parts in all partitions of n into powers of 2: p1 <= p2 <= ... <= p_k such that p_i <= 1 + ∑_j=1..i-1 p_j. A343944

Irregular triangle read by rows: T(n, k) is the number of chains of subspaces 0 < V₁ < ... < V_r = (F₂)ⁿ, counted up to coordinate permutation, with dimension increments given by (any fixed permutation of) the parts of the k-th partition of n in Abramowitz-Stegun order. A348113

Number of primes <= R_n where R_n is 11...111 with n 1's. A234317

Numbers whose square starts with exactly 4 identical digits. A346940

Numbers equal to the Euler totient function of their arithmetic derivative: k = φ(k'). A217715