Properties of the Number 3772

Three Thousand Seven Hundred Seventy-Two

Basics

Value: 3771 → 3772 → 3773

Parity: even

Prime: No

Previous Prime: 3769

Next Prime: 3779

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ² × 23 × 41

Divisors: 1, 2, 4, 23, 41, 46, 82, 92, 164, 943

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111010111100

Octal: 7274

Duodecimal: 2224

Hexadecimal: ebc

Square: 14227984

Square Root: 61.41661013113635

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) = solution to the postage stamp problem with 3 denominations and n stamps. A1208

Number of integer partitions of n whose distinct parts have integer median. A360686

Numbers whose base-3 representation is the juxtaposition of two identical strings. A20331

a(n) = (1/6)*(2·n - 3)*(n + 2)*(n + 1). A58373

Number of configurations of the 3-dimensional 2 X 2 X 2 sliding cube puzzle that require a minimum of n moves to be reached. A90572

Number of ways 1/n can be expressed as the sum of four distinct unit fractions: 1/n = 1/w + 1/x + 1/y + 1/z satisfying 0 < w < x < y < z. A241883

Square array T(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of sqrt((1-(k+4)*x+sqrt(1+2*(k-4)*x+((k+4)*x)²)) / (2 * (1+2*(k-4)*x+((k+4)*x)²))). A337419

Numbers whose base-9 representation is the juxtaposition of two identical strings. A20337

Expansion of 1/sqrt(1-4x+8x²). A98335

T(n,k)=Number of nXk 0..1 arrays with every element unequal to 0, 1, 2, 4, 6 or 7 king-move adjacent elements, with upper left element zero. A306060