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Properties of the Number 13585

Thirteen Thousand Five Hundred Eighty-Five

Basics

Value: 13584 → 13585 → 13586

Parity: odd

Prime: No

Previous Prime: 13577

Next Prime: 13591

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 5 × 11 × 13 × 19

Divisors: 1, 5, 11, 13, 19, 55, 65, 95, 143, 209

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 11010100010001

Octal: 32421

Duodecimal: 7A41

Hexadecimal: 3511

Square: 184552225

Square Root: 116.55470818461174

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

2nd elementary symmetric function of first n+1 positive integers congruent to 1 mod 3. A24212
Fourth column (m=3) of (1,6)-Pascal triangle A096956. A96957
Numbers k that form a primitive Pythagorean triple with k' and sqrt(k2 + k'2), where k' is the arithmetic derivative of k. A210503
a(1)=10; if n = Product pie_i, n > 1, then a(n) = Product pi+1e_i·Product pi+3e_i. A45973
a(n) = binomial(n+4,4)*(2·n+1). A51880
Composites c where at least one base b with 1 < b < c exists such that bc-1 == 1 (mod c2), i.e., composites c that are base-b 'Wieferich pseudoprimes' for at least one b between 1 and c. A267288
Numbers such that the sum of the largest and the smallest prime divisor equals the sum of the other distinct prime divisors. A199745
Number of all possible tetrahedra of any size, having reverse orientation to the original regular tetrahedron, formed when intersecting the latter by planes parallel to its sides and dividing its edges into n equal parts. A216172
Squarefree products of k primes that are symmetrically distributed around their average. Case k = 4. A294751
Product of the smaller primes, p, in the Goldbach partitions of 2n such that p + q = 2n, p <= q, and p,q prime (or 1 if no Goldbach partition of 2n exists). A362641