489
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 656
- Proper Divisor Sum (Aliquot Sum)
- 167
- 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
- 324
- Möbius Function
- 1
- Radical
- 489
- Omega Function (Ω)
- 2
- 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
- no
- 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
- 48
- Smith Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Names
- German
- vierhundertneunundachtzig· ordinal: vierhundertneunundachtzigste
- English
- four hundred eighty-nine· ordinal: four hundred eighty-ninth
- Spanish
- cuatrocientos ochenta y nueve· ordinal: 489º
- French
- quatre cent quatre-vingt-neuf· ordinal: quatre cent quatre-vingt-neufième
- Italian
- quattrocentoottantanove· ordinal: 489º
- Latin
- quadringenti octoginta novem· ordinal: 489.
- Portuguese
- quatrocentos e oitenta e nove· ordinal: 489º
Appears in sequences
- -1 + number of partitions of n.at n=19A000065
- Number of partitions of n into relatively prime parts. Also aperiodic partitions.at n=19A000837
- Numbers n such that every digit contains a loop (version 2).at n=44A001744
- a(n) = 3 * prime(n).at n=37A001748
- Number of "cubic partitions" of n: expansion of Product_{k>0} 1/((1-x^(2k))^2*(1-x^(2k-1))) in powers of x.at n=14A002513
- Expansion of 1/((1-x)^3*(1-x^2)^2*(1-x^3)).at n=10A002625
- Coefficients in expansion of permanent of infinite tridiagonal matrix shown below.at n=38A003113
- Numbers that are the sum of 9 positive 4th powers.at n=52A003343
- Numbers that are the sum of 5 positive 5th powers.at n=11A003350
- Möbius transform of A003964.at n=60A003978
- Divisible only by primes congruent to 3 mod 5.at n=44A004617
- Binary expansion ends 001.at n=60A004768
- Numbers that are the sum of at most 5 positive 5th powers.at n=39A004845
- Number of unrooted triangulations of a quadrilateral with n internal nodes.at n=5A005500
- a(n) = cost of minimal multiplication-cost addition chain for n.at n=37A005766
- Octahedral numbers: a(n) = n*(2*n^2 + 1)/3.at n=9A005900
- Expansion of (1+x^2)/((1-x)^2*(1-x^2)^2).at n=16A005993
- Oscillates under partition transform.at n=25A007210
- Coordination sequence T2 for Zeolite Code DAC.at n=14A008068
- Coordination sequence T2 for Zeolite Code VFI.at n=17A008246