441
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 9
- Divisor Sum
- 741
- Proper Divisor Sum (Aliquot Sum)
- 300
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 252
- Möbius Function
- 0
- Radical
- 21
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 2
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- yes
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 27
- Smith Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- yes
- Achilles Number
- no
- Perfect Power
- yes
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Names
- German
- vierhunderteinundvierzig· ordinal: vierhunderteinundvierzigste
- English
- four hundred forty-one· ordinal: four hundred forty-first
- Spanish
- cuatrocientos cuarenta y uno· ordinal: 441º
- French
- quatre cent quarante et un· ordinal: quatre cent quarante et unième
- Italian
- quattrocentoquarantuno· ordinal: 441º
- Latin
- quadringenti quadraginta unus· ordinal: 441.
- Portuguese
- quatrocentos e quarenta e um· ordinal: 441º
Appears in sequences
- Largest order of automorphism group of a tournament with n nodes.at n=13A000198
- Number of points of norm <= n^2 in square lattice.at n=12A000328
- n followed by n^2.at n=41A000463
- Sum of first n cubes; or n-th triangular number squared.at n=6A000537
- Squares that are not the sum of 2 nonzero squares.at n=14A000548
- Numbers k such that k / (sum of digits of k) is a square.at n=26A001102
- Number of partitions of n into at most 4 parts.at n=35A001400
- a(n) = 1^n + 2^n + ... + 6^n.at n=3A001553
- Perfect powers: m^k where m > 0 and k >= 2.at n=28A001597
- Nearest integer to 2*n*log(n).at n=55A001618
- Powerful numbers, definition (1): if a prime p divides n then p^2 must also divide n (also called squareful, square full, square-full or 2-powerful numbers).at n=34A001694
- Squares written in base 5.at n=11A001740
- Squares written in base 6.at n=13A001741
- Squares written in base 7.at n=14A002440
- Squares written in base 8.at n=16A002441
- Squares written in base 9.at n=18A002442
- Numbers k such that binomial(2*k,k) is divisible by (k+1)^2.at n=39A002503
- Restricted partitions.at n=13A002574
- Quarter-squares: a(n) = floor(n/2)*ceiling(n/2). Equivalently, a(n) = floor(n^2/4).at n=42A002620
- Squares and cubes.at n=26A002760