Properties of the Number 14013

Fourteen Thousand Thirteen

Basics

Value: 14012 → 14013 → 14014

Parity: odd

Prime: No

Previous Prime: 14011

Next Prime: 14029

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 3 ⁴ × 173

Divisors: 1, 3, 9, 27, 81, 173, 519, 1557, 4671, 14013

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11011010111101

Octal: 33275

Duodecimal: 8139

Hexadecimal: 36bd

Square: 196364169

Square Root: 118.37651794169315

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) = ∑_k=1..n lcm(k,n)/gcd(k,n). A56789

Row 5 of A277710: Positions of 5's in A264977; positions of 10's in A277330. A277715

Composite numbers for which A324644(n)/A324198(n) = 2 and σ(n) == 2 (mod 4). A371082

Numbers k such that k*(k+1)-1 and k*(k+1)+1 are twin primes and k*(k+3)-1 and k*(k+3)+1 are also twin primes. A138303

A Chebyshev transform of A057083. A99446

Number of length 3+1 0..n arrays with the sum of the squares of adjacent differences multiplied by some arrangement of +-1 equal to zero. A250278

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 541", based on the 5-celled von Neumann neighborhood. A272807

Numbers k > 2 such that all positive values of k - 2^{2^m} are prime, with integer m >= 0. A370523

a(n) = 4·a(n-1) - a(n-2), a(0)=1, a(1)=6. A54491

Square array read by antidiagonals of numbers whose symmetric representation of σ consists only of parts that have width 1; column k indicates the number of parts and row n indicates the n-th number in increasing order in each of the columns. A357581