Properties of the Number 10417

Ten Thousand Four Hundred Seventeen

Basics

Value: 10416 → 10417 → 10418

Parity: odd

Prime: No

Previous Prime: 10399

Next Prime: 10427

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 11 × 947

Divisors: 1, 11, 947, 10417

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100010110001

Octal: 24261

Duodecimal: 6041

Hexadecimal: 28b1

Square: 108513889

Square Root: 102.06370559606387

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

Fifth subdiagonal in array of n-gonal numbers A081422. A81436

Dispersion of A047221, (numbers >1 and congruent to 2 or 3 mod 5), by antidiagonals. A191729

a(n) = (n + 2)*(2·n² - n + 3)/6. A56520

T(n,k)=Number of nXk 0..2 arrays with no more than floor(nXk/2) elements unequal to at least one horizontal or antidiagonal neighbor, with new values introduced in row major 0..2 order. A222986

Expansion of e.g.f. exp(x + x³). A118395

a(n) is the number of integer lattice points inside the right triangle with legs 3n and 4n (and hypotenuse 5n). A126587

Number of permutations of length n which avoid the patterns 123 and 4312. A116699

Centered 21-gonal numbers. A69178

a(n) = least m such that if r and s in {1/1, 1/4, 1/7, ..., 1/(3n-2)} satisfy r < s, then r < k/m < (k+1)/m < s for some integer k. A24836

Eigenvector of triangle A118394; E.g.f.: exp( ∑_n>=0 x^3ⁿ ). A118396