98
domain: N
Properties
Digital Properties
- Digit Count
- 2
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 171
- Proper Divisor Sum (Aliquot Sum)
- 73
- 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
- 42
- Möbius Function
- 0
- Radical
- 14
- Omega Function (Ω)
- 3
- 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
- 25
- Smith Number
- no
Classification
- Natural
- yes
- Even
- yes
- Odd
- 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
Names
- German
- achtundneunzig· ordinal: achtundneunzigste
- English
- ninety-eight· ordinal: ninety-eighth
- Spanish
- noventa y ocho· ordinal: 98º
- French
- quatre-vingt-dix-huit· ordinal: quatre-vingt-dix-huitième
- Italian
- novantotto· ordinal: 98º
- Latin
- nonaginta octo· ordinal: 98.
- Portuguese
- noventa e oito· ordinal: 98º
Appears in sequences
- Number of ways of making change for n cents using coins of 1, 2, 5, 10 cents.at n=30A000008
- Number of positive integers <= 2^n of form x^2 + 12 y^2.at n=9A000021
- Numbers that are not squares (or, the nonsquares).at n=88A000037
- Number of positive integers <= 2^n of the form 3*x^2 + 4*y^2.at n=9A000049
- 1-digit numbers arranged in alphabetical order, then the 2-digit numbers arranged in alphabetical order, then the 3-digit numbers, etc.at n=46A000052
- Number of signed trees with n nodes.at n=5A000060
- A Beatty sequence: a(n) = floor(n/(e-2)).at n=70A000062
- Odious numbers: numbers with an odd number of 1's in their binary expansion.at n=49A000069
- Lower Wythoff sequence (a Beatty sequence): a(n) = floor(n*phi), where phi = (1+sqrt(5))/2 = A001622.at n=60A000201
- a(n) = sigma(n), the sum of the divisors of n. Also called sigma_1(n).at n=51A000203
- Construct a triangle as in A036262. Sequence is one less than the position of the first number larger than 2 in the n-th row (n-th difference).at n=10A000232
- Construct a triangle as in A036262. Sequence is one less than the position of the first number larger than 2 in the n-th row (n-th difference).at n=12A000232
- 3*n - 2*floor(sqrt(4*n+5)) + 5.at n=39A000277
- Number of partitions into non-integral powers.at n=4A000333
- Numbers where total number of 1-bits in the exponents of their prime factorization is even; a 2-way classification of integers: complement of A000028.at n=51A000379
- Numbers that are the sum of 2 nonzero squares.at n=33A000404
- Numbers that are the sum of three nonzero squares.at n=64A000408
- Numbers that are the sum of 2 but no fewer nonzero squares.at n=32A000415
- Sum of fourth powers: 0^4 + 1^4 + ... + n^4.at n=3A000538
- First occurrence of n consecutive numbers that take same number of steps to reach 1 in 3x+1 problem.at n=4A000546