Properties of the Number 36663

Thirty-Six Thousand Six Hundred Sixty-Three

Basics

Value: 36662 → 36663 → 36664

Parity: odd

Prime: No

Previous Prime: 36653

Next Prime: 36671

Digit Sum: 24

Digital Root: 6

Palindrome: Yes

Factorization: 3 × 11 ² × 101

Divisors: 1, 3, 11, 33, 101, 121, 303, 363, 1111, 3333

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1000111100110111

Octal: 107467

Duodecimal: 19273

Hexadecimal: 8f37

Square: 1344175569

Square Root: 191.47584704082132

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(1) = 3; for n>1, a(n) = smallest palindromic multiple of a(n-1) obtained by inserting digits anywhere in a(n-1). A82778

a(1) =3, a(n) = smallest multiple of a(n-1) (not equal to 10^k*a(n-1)) obtained by inserting digits anywhere in a(n-1). A80488

Numbers k such that φ(k) + 2 | σ(k + 2). A15781

Palindromes with exactly 4 palindromic prime factors (counted with multiplicity). A46378

Palindromes expressible as the sum of 3 consecutive palindromes. A46498

Numbers that are palindromic, divisible by 11 and have an odd number of digits. A45571

a(1) = 3, a(n) = smallest palindromic nontrivial multiple of a(n-1) containing all decimal digits of a(n-1). A342345

Powers of fifth root of 22 rounded down. A18177

Number of permutations of length n which avoid the patterns 1234, 3421, 4312. A116756

a(n) is the least positive integer that can be expressed as the sum of two distinct nonzero decimal palindromes in exactly n ways. A364836