Properties of the Number 3663

Three Thousand Six Hundred Sixty-Three

Basics

Value: 3662 → 3663 → 3664

Parity: odd

Prime: No

Previous Prime: 3659

Next Prime: 3671

Digit Sum: 18

Digital Root: 9

Palindrome: Yes

Factorization: 3 ² × 11 × 37

Divisors: 1, 3, 9, 11, 33, 37, 99, 111, 333, 407

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111001001111

Octal: 7117

Duodecimal: 2153

Hexadecimal: e4f

Square: 13417569

Square Root: 60.52272300549604

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

Numbers that are palindromic in bases 8 and 10. A29804

G.f.: 1/((1-x)*(1-x²))³. A38163

a(n) = binomial(n+4,4)*(4·n+5)/5. A34263

Palindromes with even number of digits. A56524

Riordan array (1/sqrt(1-2·x-3·x²), M(x)-1) where M(x) is the g.f. of the Motzkin numbers A001006. A114422

Divisors of 999999. A27892

a(n) = 3·n² + 12·n. A67707

Decimal palindromes that are multiples of 11. A83852

a(n) is the smallest number of the form k + reverse(k) for exactly n integers k, or -1 if no such number exists. A72041

Sum of the eighth largest parts in the partitions of n into 10 squarefree parts. A326630