498
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
- 8
- Divisor Sum
- 1008
- Proper Divisor Sum (Aliquot Sum)
- 510
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- yes
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 164
- Möbius Function
- -1
- Radical
- 498
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 3
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
- no
- 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
- yes
- Odd
- no
Names
- German
- vierhundertachtundneunzig· ordinal: vierhundertachtundneunzigste
- English
- four hundred ninety-eight· ordinal: four hundred ninety-eighth
- Spanish
- cuatrocientos noventa y ocho· ordinal: 498º
- French
- quatre cent quatre-vingt-dix-huit· ordinal: quatre cent quatre-vingt-dix-huitième
- Italian
- quattrocentonovantotto· ordinal: 498º
- Latin
- quadringenti nonaginta octo· ordinal: 498.
- Portuguese
- quatrocentos e noventa e oito· ordinal: 498º
Appears in sequences
- Number of n-node rooted trees of height 5.at n=10A000342
- Numbers n such that every digit contains a loop (version 2).at n=48A001744
- The coding-theoretic function A(n,4,4).at n=20A001843
- a(1) = 0, a(2) = -2; for n > 2, a(n) + a(n-2) - a(n-3) - a(n-5) - ... - a(n-p) = (-1)^(n+1)*n if n is prime, otherwise = 0, where p = largest prime < n.at n=31A002120
- Denominators of Bernoulli numbers B_{2n}.at n=41A002445
- Smallest number of stones in Tchoukaillon (or Mancala, or Kalahari) solitaire that make use of n-th hole.at n=38A002491
- Numbers that are the sum of 8 positive 4th powers.at n=48A003342
- Inconsummate numbers in base 10: no number is this multiple of the sum of its digits (in base 10).at n=45A003635
- a(n)=least number m such that m-a(n-1)<>a(j)-a(k) for all j,k less than m; a(1)=1, a(2)=3.at n=22A004979
- Untouchable numbers, also called nonaliquot numbers: impossible values for the sum of aliquot parts function (A001065).at n=37A005114
- a(n) = 1 + Sum_{i=1..n} (n-i+1)*phi(i).at n=16A005598
- Numbers k such that 2^(2k+1) + 2^(k+1) + 1 is prime.at n=10A006599
- Denominators of Bernoulli numbers B_0, B_1, B_2, B_4, B_6, ...at n=42A006954
- Number of triangles with integer sides and area = n times perimeter.at n=17A007237
- Impractical numbers: even abundant numbers (A173490) that are not practical(2) (A007620).at n=22A007621
- Coordination sequence T1 for Zeolite Code ATT.at n=16A008041
- Coordination sequence T4 for Zeolite Code DDR.at n=14A008074
- Coordination sequence T4 for Zeolite Code MEI.at n=16A008149
- Coordination sequence T4 for Zeolite Code STI.at n=15A008237
- Expansion of (1+x^12)/((1-x)*(1-x^2)*(1-x^3)*(1-x^4)).at n=33A008773