Properties of the Number 13078

Thirteen Thousand Seventy-Eight

Basics

Value: 13077 → 13078 → 13079

Parity: even

Prime: No

Previous Prime: 13063

Next Prime: 13093

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 × 13 × 503

Divisors: 1, 2, 13, 26, 503, 1006, 6539, 13078

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11001100010110

Octal: 31426

Duodecimal: 769A

Hexadecimal: 3316

Square: 171034084

Square Root: 114.35908359199107

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 integer partitions of n that cannot be partitioned into a set (or multiset) of sets with distinct sums. A381990

T(n,k)=Number of nXk 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1 or 4 neighboring 1s. A297582

Number of polyforms with n cells on the faces of a rhombic triacontahedron up to rotation. A383491

a(n) = 1·2*3 - 4·5*6 + 7·8*9 - 10·11·12 + 13·14·15 - ... + (up to n). A319543

Maximal length of rook tour on an n X n board. A6071

Number of isomorphism classes of nanocones with 4 pentagons and a symmetric boundary of length n. A198015

Number of integer partitions of n such that the least and greatest parts are both even or both odd. A391225

The Wiener index of a chain of n triangles (i.e., joined like VVV..VV; here V is a triangle!). A143941

Number of permutations p of [n] such that |p(i) - p(i-1)| <= 2 and |p(i) - p(i-2)| <= 3. A333833

Numbers k such that A127483(k) = A127483(k+1) - 1 = A127483(k+2) - 2. A127485