998
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 26
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 1500
- Proper Divisor Sum (Aliquot Sum)
- 502
- 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
- 498
- Möbius Function
- 1
- Radical
- 998
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 49
- 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
- yes
- Odd
- no
Names
- German
- neunhundertachtundneunzig· ordinal: neunhundertachtundneunzigste
- English
- nine hundred ninety-eight· ordinal: nine hundred ninety-eighth
- Spanish
- novecientos noventa y ocho· ordinal: 998º
- French
- neuf cent quatre-vingt-dix-huit· ordinal: neuf cent quatre-vingt-dix-huitième
- Italian
- novecentonovantotto· ordinal: 998º
- Latin
- nongenti nonaginta octo· ordinal: 998.
- Portuguese
- novecentos e noventa e oito· ordinal: 998º
Appears in sequences
- Conjecturally largest even integer which is an unordered sum of two primes in exactly n ways.at n=17A000954
- Numbers k such that phi(2k-1) < phi(2k), where phi is Euler's totient function A000010.at n=13A001836
- Number of series-reduced planted trees with n+9 nodes and 4 internal nodes.at n=12A001860
- Related to representations as sums of Fibonacci numbers.at n=17A006133
- Numbers not of form p + 2^x + 2^y.at n=19A006286
- a(n) = Sum_{k=1..n-1} (k OR n-k).at n=33A006583
- Coordination sequence T1 for Zeolite Code AFR.at n=24A008019
- Coordination sequence T3 for Zeolite Code AFR.at n=24A008021
- Coordination sequence T2 for Zeolite Code BIK.at n=19A008048
- Coordination sequence T2 for Zeolite Code JBW.at n=21A008122
- Coordination sequence T3 for Zeolite Code MTW.at n=21A008198
- Coordination sequence T2 for Cordierite.at n=19A008252
- a(n) = floor( n*(n-1)*(n-2)/27 ).at n=31A011909
- Number of ordered quadruples of integers from [ 1,n ] with no common factors between pairs.at n=20A015636
- Expansion of 1/(1-x^7-x^8-x^9-x^10-x^11-x^12-x^13).at n=45A017862
- Numbers k such that the continued fraction for sqrt(k) has period 18.at n=22A020357
- Expansion of Product_{m>=1} (1 + m*q^m)^4.at n=6A022632
- a(n) = [ a(n-1)/a(1) + a(n-2)/a(2) + ... + a(1)/a(n-1) ], for n >= 3.at n=15A022863
- s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = A023532, t = (odd natural numbers).at n=41A024372
- a(n) = [ (2nd elementary symmetric function of S(n))/(first elementary symmetric function of S(n)) ], where S(n) = {first n+1 positive integers congruent to 2 mod 3}.at n=36A024398