418
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 720
- Proper Divisor Sum (Aliquot Sum)
- 302
- 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
- 180
- Möbius Function
- -1
- Radical
- 418
- 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
- 40
- 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
- vierhundertachtzehn· ordinal: vierhundertachtzehnste
- English
- four hundred eighteen· ordinal: four hundred eighteenth
- Spanish
- cuatrocientos dieciocho· ordinal: 418º
- French
- quatre cent dix-huit· ordinal: quatre cent dix-huitième
- Italian
- quattrocentodiciotto· ordinal: 418º
- Latin
- quadringenti duodeviginti· ordinal: 418.
- Portuguese
- quatrocentos e dezoito· ordinal: 418º
Appears in sequences
- One half of the number of permutations of [n] such that the differences have three runs with the same signs.at n=3A000352
- Expansion of Product_{k >= 1} (1 - x^k)^6.at n=60A000729
- Numbers beginning with letter 'f' in English.at n=42A000867
- a(n) = solution to the postage stamp problem with 3 denominations and n stamps.at n=15A001208
- Numbers dividing A002037(i) and larger than A002037(i-1), for some i>0.at n=37A002038
- Number of partitions of n with exactly two part sizes.at n=56A002133
- Numbers k such that the k-th tetrahedral number is the sum of 2 tetrahedral numbers.at n=12A002311
- Smallest number of stones in Tchoukaillon (or Mancala, or Kalahari) solitaire that make use of n-th hole.at n=35A002491
- a(n) = (2*n-1)*a(n-1) - (n-1)*a(n-2) with a(0) = a(1) = 1.at n=5A002801
- Numbers which are the sum of 3 nonzero 4th powers.at n=15A003337
- Numbers that are the sum of 8 positive 4th powers.at n=40A003342
- a(n) = Fibonacci(n+1) + prime(n).at n=12A004398
- Numbers that are the sum of at most 3 nonzero 4th powers.at n=29A004832
- Numbers that are the sum of at most 4 nonzero 4th powers.at n=50A004833
- a(n) = 1 + Sum_{i=1..n} (n-i+1)*phi(i).at n=15A005598
- Sums of prime divisors of Ruth-Aaron numbers (A006145).at n=29A006146
- a(n) = n*(n+1)*(n+8)/6.at n=11A006503
- Sphenic numbers: products of 3 distinct primes.at n=46A007304
- Number of homogeneous primitive partition identities of degree 6 with largest part n.at n=6A007344
- Numbers k such that phi(x) = k has exactly 2 solutions.at n=52A007366