Properties of the Number 13067

Thirteen Thousand Sixty-Seven

Basics

Value: 13066 → 13067 → 13068

Parity: odd

Prime: No

Previous Prime: 13063

Next Prime: 13093

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 73 × 179

Divisors: 1, 73, 179, 13067

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11001100001011

Octal: 31413

Duodecimal: 768B

Hexadecimal: 330b

Square: 170746489

Square Root: 114.3109793501919

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

T(n,k)=Number of nXk 0..1 arrays with every 1 horizontally or antidiagonally adjacent to 0 or 2 neighboring 1s. A297338

T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 1 1 and 1 0 1 vertically. A207269

Composites whose prime factorization in base 6 is an anagram of the number in base 6. A260050

Nonnegative values·of solutions (x, y) to the Diophantine equation x² + (x+289)² = y². A207059

From a Goldbach conjecture: the location of records in A185091. A2091

Exponential generating function is (1-x¹/1!)(1-x²/2!)(1-x³/3!).... A185895

NSW pseudoprimes: odd composite numbers k such that A002315((k-1)/2) == 1 (mod k). A330276

Pell pseudoprimes: odd composite numbers n such that P(n)-Kronecker(2,n) is divisible by n. A99011

a(n) = 12·n² - 1. A158463

Intersection of A099011 and A327651. A327652