404
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 8
- Digital Root
- 8
- Palindromic Number
- yes
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 714
- Proper Divisor Sum (Aliquot Sum)
- 310
- 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
- 200
- Möbius Function
- 0
- Radical
- 202
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 27
- 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
- vierhundertvier· ordinal: vierhundertvierste
- English
- four hundred four· ordinal: four hundred fourth
- Spanish
- cuatrocientos cuatro· ordinal: 404º
- French
- quatre cent quatre· ordinal: quatre cent quatrième
- Italian
- quattrocentoquattro· ordinal: 404º
- Latin
- quadringenti quattuor· ordinal: 404.
- Portuguese
- quatrocentos e quatro· ordinal: 404º
Appears in sequences
- Numbers beginning with letter 'f' in English.at n=28A000867
- Powers of e rounded up.at n=6A001671
- Numbers n such that every digit contains a loop (version 2).at n=26A001744
- Primes multiplied by 4.at n=25A001749
- G.f.: 1/Product_{k>=1} (1-prime(k)*x^prime(k)).at n=12A002098
- Palindromes in base 10.at n=49A002113
- Numbers k for which the rank of the elliptic curve y^2 = x^3 + k is 2.at n=62A002155
- Restricted partitions.at n=12A002573
- Numbers that are the sum of 9 positive 4th powers.at n=42A003343
- Numbers that are the sum of 7 positive 5th powers.at n=13A003352
- Numbers k >= 2 such that if 1 < j < k then (fractional part of log k) < (fractional part of log j).at n=6A004790
- a(n) = ceiling(exp((n-1)/2)).at n=13A005181
- a(n) is the number of forests with n (unlabeled) nodes in which each component tree is planted, that is, is a rooted tree in which the root has degree 1.at n=9A005198
- P-positions in Epstein's Put or Take a Square game.at n=15A005240
- Noncototients: numbers k such that x - phi(x) = k has no solution.at n=40A005278
- Start with 4; if k appears then so do 2k+2 and 3k+3. (duplicates omitted.)at n=39A005662
- Positions of remoteness 4 in Beans-Don't-Talk.at n=10A005696
- Number of partitions of 5n into powers of 5.at n=52A005706
- Number of line-rooted projective plane trees with n nodes.at n=7A006081
- a(n) = Sum_{k=1..n-1} (k AND n-k).at n=51A006581