Properties of the Number 10054

Ten Thousand Fifty-Four

Basics

Value: 10053 → 10054 → 10055

Parity: even

Prime: No

Previous Prime: 10039

Next Prime: 10061

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 2 × 11 × 457

Divisors: 1, 2, 11, 22, 457, 914, 5027, 10054

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011101000110

Octal: 23506

Duodecimal: 599A

Hexadecimal: 2746

Square: 101082916

Square Root: 100.269636480841

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

Triangle T(n,k), n>=1, 0<=k<=n², read by rows: row n gives the coefficients of the chromatic polynomial of the square diagonal grid graph DG_n,n, highest powers first. A212208

Number of ways to place 2 non-attacking ferses on an n X n board. A201243

Arises in enumeration of 321-hexagon-avoiding permutations. A92492

Expansion of ∏_k>=1 (1 - x^k)^σ(k). A288385

a(n) = 4·a(n-1)+3·a(n-2) for n>1, a(0)=2, a(1)=4. A80042

Let S(n)=σ(|n|)-2·n; sequence gives numbers n such that S(S(S(S(n))))=n. May be called {2,1}-Sociable number of orders 1 or 2 or 4. A113285

Numbers m such that 4^m reversed is prime. A350441

Number of squares on infinite half chessboard at <=n knight moves from a fixed point on the diagonal. A98499

Expansion of ∏_k>=1 (1 + k²*x^k)/(1 - k²*x^k). A265844

Numbers k where the d(j)-th digit is j for d(j) and j > 0 and d(j) = 0 if and only if j is not a digit of k. A348056