198
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 468
- Proper Divisor Sum (Aliquot Sum)
- 270
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 60
- Möbius Function
- 0
- Radical
- 66
- Omega Function (Ω)
- 4
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 26
- 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
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Names
- German
- einshundertachtundneunzig· ordinal: einshundertachtundneunzigste
- English
- one hundred ninety-eight· ordinal: one hundred ninety-eighth
- Spanish
- ciento noventa y ocho· ordinal: 198º
- French
- cent quatre-vingt-dix-huit· ordinal: cent quatre-vingt-dix-huitième
- Italian
- centonovantotto· ordinal: 198º
- Latin
- centum nonaginta octo· ordinal: 198.
- Portuguese
- cento e noventa e oito· ordinal: 198º
Appears in sequences
- Generalized tangent numbers d(n,1).at n=57A000061
- Numbers k such that k^4 + 1 is prime.at n=29A000068
- a(n) = floor(n^(3/2)).at n=34A000093
- Denumerants: Expansion of 1/((1-x)*(1-x^2)*(1-x^5)).at n=59A000115
- Dimension of the n-th graded piece of the mod-2 Steenrod algebra A_2.at n=56A000929
- n! never ends in this many 0's.at n=38A000966
- Expansion of g.f. (1 + x + 2*x^2)/((1 - x)^2*(1 - x^3)).at n=16A000969
- Numbers that are divisible by at least three different primes.at n=30A000977
- Numbers that are the sum of 2 successive primes.at n=24A001043
- Dimensions (sorted, with duplicates removed) of real simple Lie algebras.at n=47A001066
- a(n) = 10*a(n-1) - a(n-2) with a(0) = 0, a(1) = 2.at n=3A001078
- Moran numbers: k such that k/(sum of digits of k) is prime.at n=17A001101
- A self-generating sequence: a(1)=1, a(2)=2, a(n+1) chosen so that a(n+1)-a(n-1) is the first number not obtainable as a(j)-a(i) for 1<=i<j<=n.at n=18A001149
- Number of permutations of order n with the length of longest run equal to 5.at n=6A001253
- Triangle read by rows, in which row n consists of n(n+m) for m = 1 .. n-1.at n=51A001283
- Numbers of form m*k with m+1 <= k <= 2m-1.at n=55A001284
- a(n) = a(n-1) + a(n-2) + 1, with a(0) = 0 and a(1) = 2.at n=10A001610
- Expansion of g.f. x/((1 - x)^2*(1 - x^3)).at n=33A001840
- The coding-theoretic function A(n,4,4).at n=14A001843
- Numbers k such that 4*k^2 + 1 is prime.at n=55A001912