398
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 600
- Proper Divisor Sum (Aliquot Sum)
- 202
- 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
- 198
- Möbius Function
- 1
- Radical
- 398
- 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
- 120
- 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
- dreihundertachtundneunzig· ordinal: dreihundertachtundneunzigste
- English
- three hundred ninety-eight· ordinal: three hundred ninety-eighth
- Spanish
- trescientos noventa y ocho· ordinal: 398º
- French
- trois cent quatre-vingt-dix-huit· ordinal: trois cent quatre-vingt-dix-huitième
- Italian
- trecentonovantotto· ordinal: 398º
- Latin
- trecenti nonaginta octo· ordinal: 398.
- Portuguese
- trezentos e noventa e oito· ordinal: 398º
Appears in sequences
- Coefficients of the 3rd-order mock theta function f(q).at n=45A000025
- Coefficient of q^(2n-1) in the series expansion of Ramanujan's mock theta function f(q).at n=22A000199
- Conjecturally largest even integer which is an unordered sum of two primes in exactly n ways.at n=7A000954
- Number of proper linear spaces of order n.at n=13A001439
- 2 together with primes multiplied by 2.at n=46A001747
- Numbers k such that 57*2^k + 1 is prime.at n=15A002274
- a(n) = A001950(A003234(n)) + 1.at n=41A003249
- Values of m in the discriminant D = 4*m leading to a new minimum of the L-function of the Dirichlet series L(1) = Sum_{k>0} Kronecker(D,k)/k.at n=6A003419
- a(n) = floor(n*phi^11), where phi is the golden ratio, A001622.at n=2A004926
- a(n) = round(n*phi^11), where phi is the golden ratio, A001622.at n=2A004946
- Number of numbers of complexity n, i.e., that can be built from n ones using + and *, and require at least that many ones.at n=21A005421
- Start with 4; if k appears then so do 2k+2 and 3k+3. (duplicates omitted.)at n=37A005662
- Arkons: number of elementary maps with n-1 nodes.at n=8A006343
- a(n) = a(n-1) + sum of digits of a(n-1), a(1) = 5.at n=38A007618
- Number of inverse pairs of elements in symmetric group S_n, or pairs of total orders on n nodes (average of A000085 and A000142).at n=6A007868
- a(n) is the largest even number k such that 6, 8, ..., k are sums of 2 of first n odd primes.at n=46A007944
- a(n) is the largest even number k such that 6, 8, ..., k are sums of 2 of first n odd primes.at n=45A007944
- Coordination sequence T4 for Zeolite Code HEU.at n=13A008119
- Coordination sequence T4 for Zeolite Code LTN.at n=14A008143
- Coordination sequence T1 for Zeolite Code MTN.at n=12A008186