Properties of the Number 3621

Three Thousand Six Hundred Twenty-One

Basics

Value: 3620 → 3621 → 3622

Parity: odd

Prime: No

Previous Prime: 3617

Next Prime: 3623

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 3 × 17 × 71

Divisors: 1, 3, 17, 51, 71, 213, 1207, 3621

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111000100101

Octal: 7045

Duodecimal: 2119

Hexadecimal: e25

Square: 13111641

Square Root: 60.174745533321534

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

Triangle R, read by rows, such that R³ transforms column k of R³ into column k+1 of R³, so that column k of R³ equals column 0 of R^3·k+3, where R³ denotes the matrix cube of R. A113389

Minimal (positive) solution a(n) of Pell equation b(n)² - D(n)*a(n)² = +4 with D(n)= A077425(n). The companion sequence is a(n)=A077428(n). A78355

Values of n such that n²-2 and n²+2 are both prime. A108701

Numbers k such that the decimal expansions of both k and k² have 1 as smallest digit and 6 as largest digit. A257197

X-toothpick sequence on Z³ lattice (see Comments for precise definition). A160170

T(n,k) = number of n X k 0..1 arrays with every element equal to 1, 2 or 4 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302278

Sum of gcd(x, y) for 1 <= x, y <= n. A18806

a(1) = 7; a(n) is smallest number >= a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime. A46257

Number of partitions of n such that 2*(least part) < greatest part. A237820

Positive numbers whose product of digits is three times their sum. A62035