Properties of the Number 3640

Three Thousand Six Hundred Forty

Basics

Value: 3639 → 3640 → 3641

Parity: even

Prime: No

Previous Prime: 3637

Next Prime: 3643

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 2 ³ × 5 × 7 × 13

Divisors: 1, 2, 4, 5, 7, 8, 10, 13, 14, 20

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111000111000

Octal: 7070

Duodecimal: 2134

Hexadecimal: e38

Square: 13249600

Square Root: 60.332412515993425

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

Triple factorial numbers (3·n-2)!!! with leading 1 added. A7559

Triangle formed from even-numbered columns of triangle of expansions of powers of·in terms of Chebyshev polynomials U_n(x). A39599

Catalan's triangle T(n,k) (read by rows): each term is the sum of the entries above and to the left, i.e., T(n,k) = ∑_j=0..k T(n-1,j). A9766

Triple factorial numbers a(n) = n!!!, defined by a(n) = n·a(n-3), a(0) = a(1) = 1, a(2) = 2. Sometimes written n!3. A7661

Table by antidiagonals of T(n,k) = n·T(n,k-1) + T(n,k-2) starting with T(n,1) = 1. A73133

a(n) = a(n-1) + a(n-2) + a(n-3) with a(0)=2, a(1)=1, a(2)=2. A214899

Array A(n,k) = n·A(n,k-1) + A(n,k-2) read by upward antidiagonals, starting A(n,0) = 0, A(n,1) = 1. A172236

Pentagonal numbers multiplied by 2: a(n) = n*(3·n-1). A49450

a(0) = 1, a(1) = 5, a(n+1) = 5·a(n) + a(n-1). A52918

Array read by ascending antidiagonals. A(n, k) = Fibonacci(k, n), where Fibonacci(n, x) are the Fibonacci polynomials. A352361