Properties of the Number 441

Four Hundred Forty-One

Basics

Value: 440 → 441 → 442

Parity: odd

Prime: No

Previous Prime: 439

Next Prime: 443

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 7 ²

Divisors: 1, 3, 7, 9, 21, 49, 63, 147, 441

Polygonal

Triangular: No

Square: Yes

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110111001

Octal: 671

Duodecimal: 309

Hexadecimal: 1b9

Square: 194481

Square Root: 21

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

The squares: a(n) = n². A290

Perfect powers: m^k where m > 0 and k >= 2. A1597

Primorial base exp-function: digits in primorial base representation of n become the exponents of successive prime factors whose product a(n) is. A276086

Powerful numbers, definition (1): if a prime p divides n then p² must also divide n (also called squareful, square full, square-full or 2-powerful numbers). A1694

Quarter-squares: a(n) = floor(n/2)*ceiling(n/2). Equivalently, a(n) = floor(n²/4). A2620

Odd squares: a(n) = (2n+1)². Also centered octagonal numbers. A16754

Product of divisors of n. A7955

Refactorable numbers: number of divisors of k divides k. Also known as τ numbers. A33950

Sum of first n cubes; or n-th triangular number squared. A537

Squares and twice squares. A28982