Properties of the Number 13653

Thirteen Thousand Six Hundred Fifty-Three

Basics

Value: 13652 → 13653 → 13654

Parity: odd

Prime: No

Previous Prime: 13649

Next Prime: 13669

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 37 × 41

Divisors: 1, 3, 9, 37, 41, 111, 123, 333, 369, 1517

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 11010101010101

Octal: 32525

Duodecimal: 7A99

Hexadecimal: 3555

Square: 186404409

Square Root: 116.84605256490268

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

Dispersion of A016813 (4k+1, k>1), by antidiagonals. A191667

a(n) is the index of F(n+1) at the unique occurrence of the ordered pair of reversed consecutive terms (F(n+1),F(n)) in Stern's diatomic sequence A002487, where F(k) denotes the k-th term of the Fibonacci sequence A000045. A86893

a(n) = 4·a(n-1) + 1 with a(0) = 3. A72197

Numbers n such that C(4n,n)/(3n+1) (A002293) is not divisible by 4. A78971

An array A of the positive odd numbers, read by antidiagonals upwards, giving the present triangle T. A347834

Numbers k such that A081252(m)/m² has a local maximum for m = k. A81254

Odd numbers producing exactly 3 odd numbers in the Collatz (3x+1) iteration. A198584

Array T(n,k) of odd Collatz preimages read by antidiagonals. A178415

a(n) = a(n-1) + 2·a(n-2), a(0)=2, a(1)=3. A48573

a(n) = 4·a(n-2) + 1 with a(1) = 0, a(2) = 3. A96773