Properties of the Number 3637

Three Thousand Six Hundred Thirty-Seven

Basics

Value: 3636 → 3637 → 3638

Parity: odd

Prime: Yes

Previous Prime: 3631

Next Prime: 3643

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 3637

Divisors: 1, 3637

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111000110101

Octal: 7065

Duodecimal: 2131

Hexadecimal: e35

Square: 13227769

Square Root: 60.30754513325841

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: Yes

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Balanced primes (of order one): primes which are the average of the previous prime and the following prime. A6562

Prime(n), where n is such that (∑_i=1..n prime(i)²) / n is an integer. A217599

Primes with indices that are primes with prime indices. A38580

Primes formed by concatenating n with n+1. A30458

a(n) = n concatenated with n + 1. A1704

Primes of the form x²+101y². A139489

Primes prime(k) for which A049076(k) = 3. A49079

Number T(n,k) of equivalence classes of ways of placing k 2 X 2 tiles in an n X 10 rectangle under all symmetry operations of the rectangle; irregular triangle T(n,k), n>=2, 0<=k<=5·floor(n/2), read by rows. A238586

Numbers n such that n!! + 2 is prime. A76185

a(n) = ∑_k=1..n k·d(k) where d(k) is the number of divisors of k. A143127