424
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- yes
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 810
- Proper Divisor Sum (Aliquot Sum)
- 386
- 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
- 208
- Möbius Function
- 0
- Radical
- 106
- Omega Function (Ω)
- 4
- 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
- 14
- 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
- vierhundertvierundzwanzig· ordinal: vierhundertvierundzwanzigste
- English
- four hundred twenty-four· ordinal: four hundred twenty-fourth
- Spanish
- cuatrocientos veinticuatro· ordinal: 424º
- French
- quatre cent vingt-quatre· ordinal: quatre cent vingt-quatrième
- Italian
- quattrocentoventiquattro· ordinal: 424º
- Latin
- quadringenti viginti quattuor· ordinal: 424.
- Portuguese
- quatrocentos e vinte e quatro· ordinal: 424º
Appears in sequences
- Symmetrical dissections of an n-gon.at n=11A000063
- Number of tournaments on n nodes determined by their score vectors.at n=12A000570
- Numbers beginning with letter 'f' in English.at n=48A000867
- Expansion of (sqrt(1-4x^2) - sqrt(1-4x))/(2x).at n=7A000912
- Number of cells of square lattice of edge 1/n inside quadrant of unit circle centered at 0.at n=23A001182
- Expansion of 1/((1-x)^2*(1-x^2)*(1-x^5)).at n=25A001304
- Number of ways of making change for n cents using coins of 1, 2, 4, 10 cents.at n=50A001362
- Number of ways of making change for n cents using coins of 1, 2, 4, 10 cents.at n=51A001362
- Functional determinants; partitions of partitions; Euler transform applied twice to all 1's sequence.at n=9A001970
- Palindromes in base 10.at n=51A002113
- Numbers k such that (k^2 + k + 1)/21 is prime.at n=24A002644
- Arrays of dumbbells.at n=7A002940
- Self numbers or Colombian numbers (numbers that are not of the form m + sum of digits of m for any m).at n=45A003052
- Numbers that are the sum of 9 positive 4th powers.at n=45A003343
- Discriminants of quadratic fields whose fundamental unit has norm -1.at n=52A003653
- a(n) = floor(100*log_2(n)).at n=18A004262
- Number of ways in which n identical balls can be distributed among 6 boxes in a row such that each pair of adjacent boxes contains at least 4 balls.at n=2A005339
- Number of partitions of 4*n into powers of 4.at n=44A005705
- a(n) = cost of minimal multiplication-cost addition chain for n.at n=34A005766
- Number of permutations of length n with 2 cycle lengths.at n=3A005772