484
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- yes
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 9
- Divisor Sum
- 931
- Proper Divisor Sum (Aliquot Sum)
- 447
- 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
- 220
- Möbius Function
- 0
- Radical
- 22
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 97
- 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
- yes
- Odd
- no
Names
- German
- vierhundertvierundachtzig· ordinal: vierhundertvierundachtzigste
- English
- four hundred eighty-four· ordinal: four hundred eighty-fourth
- Spanish
- cuatrocientos ochenta y cuatro· ordinal: 484º
- French
- quatre cent quatre-vingt-quatre· ordinal: quatre cent quatre-vingt-quatrième
- Italian
- quattrocentoottantaquattro· ordinal: 484º
- Latin
- quadringenti octoginta quattuor· ordinal: 484.
- Portuguese
- quatrocentos e oitenta e quatro· ordinal: 484º
Appears in sequences
- n followed by n^2.at n=43A000463
- Squares that are not the sum of 2 nonzero squares.at n=15A000548
- a(n+3) = a(n+2) + a(n+1) + a(n) - 4.at n=11A000803
- Number of switching networks (see Harrison reference for precise definition).at n=1A000827
- Numbers n such that the sum of the squares of n consecutive positive odd numbers x^2 + (x+2)^2 + ... + (x+2n-2)^2 = k^2 for some integer k. The least values of x and k for each n are in A056131 and A056132, respectively.at n=33A001033
- Squares of partition numbers.at n=8A001255
- Perfect powers: m^k where m > 0 and k >= 2.at n=29A001597
- 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=35A001694
- Numbers n such that every digit contains a loop (version 2).at n=41A001744
- Number of partitions with no even part repeated; partitions of n in which no parts are multiples of 4.at n=22A001935
- Palindromes in base 10.at n=57A002113
- Numbers of the form (p^2 - 1)/120 where p is 1 or prime.at n=24A002381
- Squares written in base 9.at n=19A002442
- Quarter-squares: a(n) = floor(n/2)*ceiling(n/2). Equivalently, a(n) = floor(n^2/4).at n=44A002620
- Squares and cubes.at n=27A002760
- Palindromic squares.at n=5A002779
- a(n) = n^2 written backwards.at n=21A002942
- Beginnings of periodic unitary aliquot sequences.at n=40A003062
- Numbers that are the sum of 9 positive 4th powers.at n=51A003343
- Numbers of the form 2^i * 11^j.at n=17A003596