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Properties of the Number 16313

Sixteen Thousand Three Hundred Thirteen

Basics

Value: 16312 → 16313 → 16314

Parity: odd

Prime: No

Previous Prime: 16301

Next Prime: 16319

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 11 × 1483

Divisors: 1, 11, 1483, 16313

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 11111110111001

Octal: 37671

Duodecimal: 9535

Hexadecimal: 3fb9

Square: 266113969

Square Root: 127.72235513018072

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) = a(n-1) + a(m) for n >= 4, where m = 2·n - 2 - 2p+1 and p is the unique integer such that 2p < n - 1 <= 2p+1, starting with a(1) = a(2) = a(3) = 1. A50027
Number of partitions of n with equal nonzero number of parts congruent to each of 1 and 3 (mod 4). A35550
Numbers k such that k and k2 use only the digits 1, 2, 3, 6 and 9. A136981
Number of binary strings of length n with no substrings equal to 0000 0101 or 0111. A164433
Numbers k whose binary expansion starts with the concatenation of the binary expansions of the run lengths in binary expansion of k. A348111
A035550 with periodic zeros stripped. A35595
Number of free tree-like convex polyominoes with n cells. A204804
Number of length n 0..4 arrays connected end-around, with no sequence of L<n elements immediately followed by itself ("periodic squarefree"), and new values introduced in order 0..4. A215397
T(n,k) = number of length-n 0..k arrays connected end-around, with no sequence of L<n elements immediately followed by itself (periodic "squarefree"), and new values introduced in order 0..k. A215401
Expansion of 1/((1-2·x)*(1-7·x)*(1-10·x)). A16313