Properties of the Number 13115

Thirteen Thousand One Hundred Fifteen

Basics

Value: 13114 → 13115 → 13116

Parity: odd

Prime: No

Previous Prime: 13109

Next Prime: 13121

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 5 × 43 × 61

Divisors: 1, 5, 43, 61, 215, 305, 2623, 13115

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 11001100111011

Octal: 31473

Duodecimal: 770B

Hexadecimal: 333b

Square: 172003225

Square Root: 114.52074047961793

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

G.f. A(x) satisfies A(x) = 1 + x*(A(x)² - A(x)³ + A(x)⁴). A219537

Number of partitions of n² into positive cubes. A218495

Number of partitions of n with even crank. A124227

Triangle T(n, k, q) = (1-qⁿ)*( binomial(n, k) - 1 ) + 1, with q = 3, read by rows. A174719

Bitwise encoding of the state of a 1D cellular automaton after n steps from ...111000... where adjacent cells swap 01 <-> 10 when within triples 110 or 011. A359303

a(n) = K₃(n) = ∑_k>=0 A090285(3,k)*2^k*binomial(n,k). a(n) = (4·n³+30·n²+56·n+15)/3. A90294

Irregular triangle read by rows: the right-hand side of the triangle in A349813. A349814

Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 17 ones. A31785

Hypotenuse of the smallest Pythagorean triple whose legs are m and 2m + n. A216260

Numbers that are the concatenation of three (not necessarily distinct) primes whose sum is prime, and are also the product of three (not necessarily distinct) primes whose sum is prime. A385452