Properties of the Number 3627

Three Thousand Six Hundred Twenty-Seven

Basics

Value: 3626 → 3627 → 3628

Parity: odd

Prime: No

Previous Prime: 3623

Next Prime: 3631

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 13 × 31

Divisors: 1, 3, 9, 13, 31, 39, 93, 117, 279, 403

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 111000101011

Octal: 7053

Duodecimal: 2123

Hexadecimal: e2b

Square: 13155129

Square Root: 60.22457969965419

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(n) = (n-1)*n*(n+4)/6. A5581

Number of reduced words of length n in the Weyl group D₂₇. A162369

Number of partitions of n into parts >= 5. A185325

Expansion of 1/(1 - x⁵ - x⁶ - x⁷ - x⁸ + x¹³). A173924

Number T(n,k) of set partitions of [n] such that k is the largest element of the last block; triangle T(n,k), n>=1, 1<=k<=n, read by rows. A271466

a(n) = n times R(n) where R(n) (A004086) is the digit reversal of n. A61205

Main diagonal of array in A163280. A164000

G.f. A(x) satisfies A(x) = 1 / (1 - x*(1 + x·A(x))³). A364742

T(n,k)=Number of 0..k arrays x(0..n-1) of n elements with each no smaller than the sum of its four previous neighbors modulo (k+1). A200469

Diagonal of triangular spiral in A051682. A81267