Properties of the Number 13058

Thirteen Thousand Fifty-Eight

Basics

Value: 13057 → 13058 → 13059

Parity: even

Prime: No

Previous Prime: 13049

Next Prime: 13063

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 × 6529

Divisors: 1, 2, 6529, 13058

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 11001100000010

Octal: 31402

Duodecimal: 7682

Hexadecimal: 3302

Square: 170511364

Square Root: 114.27160627207444

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

a(n) = 7ⁿ + 8ⁿ + 9ⁿ. A74580

Number of strict integer partitions of 2·n with no subset summing to n. A321142

Numbers which are the sums of consecutive fourth powers. A217844

Diagonal sums of Riordan array ((1-2x)/(1 - 3x + x²),x(1-x)/(1 - 3x + x²)). A147704

Maximal value of ∑_i=1..n (p(i) - p(i+1))², where p(n+1) = p(1), as p ranges over all permutations of {1, 2, ..., n}. A64842

a(n) = 3·n⁴ + 12·n³ + 30·n² + 36·n + 17. A160827

Let i be in {1,2,3,4} and let r >= 0 be an integer. Let p = {p₁, p₂, p₃, p₄} = {-1,0,1,2}, n=3·r+p_i, and define a(-1)=0. Then a(n)=a(3·r+p_i) gives the quantity of H_9,3,0 tiles in a subdivided H_9,i,r tile after linear scaling by the factor Q^r, where Q=sqrt(x³-2·x) with x=2·cos(π/9). A187505

Numbers m such that the average path sum is an integer when iterating from m to 1 with nondeterministic map k -> k - k/p, where p is any prime factor of k. A333785

Records in A087159, i.e., A087159(a(n)) = n, and satisfies the recurrence a(n+3) = 5·a(n+2) - 6·a(n+1) + 2·a(n) with a(1) = 1, a(2) = 2, and a(3) = 4. A87161

a(n) = 6561·n² - 7732·n + 2278. A157376