Properties of the Number 13753

Thirteen Thousand Seven Hundred Fifty-Three

Basics

Value: 13752 → 13753 → 13754

Parity: odd

Prime: No

Previous Prime: 13751

Next Prime: 13757

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 17 × 809

Divisors: 1, 17, 809, 13753

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 11010110111001

Octal: 32671

Duodecimal: 7B61

Hexadecimal: 35b9

Square: 189145009

Square Root: 117.27318534089538

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

Array T(n,k) = number of conjugacy classes of subgroups of index k in free group of rank n, read by antidiagonals. A57004

Number of vertices among all distinct circles that can be constructed from a point on the origin and n equally spaced points on each of the +x,-x,+y,-y coordinates axes using only a compass. A354605

Numbers k such that ∑_i=1..k i⁷ divides ∏_i=1..k i⁷. A166607

Number of conjugacy classes of subgroups of index n in free group of rank 3. A57006

a(n) = 26·n² - 1. A158551

a(n) = 529·n - 1. A158365

Totally multiplicative sequence with a(p) = a(p-1) + 8 for prime p. A166705

a(n) = n³ - 3n² + 3. A177058

Number of nX4 0..1 arrays with every element unequal to 0, 2, 3, 6 or 7 king-move adjacent elements, with upper left element zero. A305043

Numbers k such that the continued fraction for sqrt(k) has period 73. A20412