Properties of the Number 10479

Ten Thousand Four Hundred Seventy-Nine

Basics

Value: 10478 → 10479 → 10480

Parity: odd

Prime: No

Previous Prime: 10477

Next Prime: 10487

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 7 × 499

Divisors: 1, 3, 7, 21, 499, 1497, 3493, 10479

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100011101111

Octal: 24357

Duodecimal: 6093

Hexadecimal: 28ef

Square: 109809441

Square Root: 102.36698686588367

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 2n-step 2-dimensional closed self-avoiding paths on square lattice, reduced for symmetry, i.e., where rotations and reflections are not counted as distinct. A266549

a(n) = (2·n-1)*(n² -n +6)/6. A49480

a(n) is the smallest integer > a(n-1) such that {π^a(n)} < {π^a(n-1)}, where {x} = x - floor(x), a(1)=1. A137994

Sum of the largest parts of the partitions of n into 10 squarefree parts. A326637

Numbers k such that the fractional part of π^k is less than 1/k. A153710

Numbers k such that k¹⁶ == 1 (mod 17³). A56088

Number of solutions to +-1² +- 2² +- 3² +- ... +- n² = n. A348165

Number of Motzkin meanders of length n with an odd number of humps and an even number of peaks. A325923

a(n+1)-+a(n)=prime, a(n+1)*a(n)=Average of twin prime pairs, a(1)=3,a(2)=10. A154496

Composite numbers k such that A003415(σ(k)) = k + p·A003415(k), for some prime p, where A003415 is the arithmetic derivative, and σ is the sum of divisors of n. A342924