924
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 2688
- Proper Divisor Sum (Aliquot Sum)
- 1764
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 240
- Möbius Function
- 0
- Radical
- 462
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 4
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
- 129
- 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
- neunhundertvierundzwanzig· ordinal: neunhundertvierundzwanzigste
- English
- nine hundred twenty-four· ordinal: nine hundred twenty-fourth
- Spanish
- novecientos veinticuatro· ordinal: 924º
- French
- neuf cent vingt-quatre· ordinal: neuf cent vingt-quatrième
- Italian
- novecentoventiquattro· ordinal: 924º
- Latin
- nongenti viginti quattuor· ordinal: 924.
- Portuguese
- novecentos e vinte e quatro· ordinal: 924º
Appears in sequences
- Number of cusps of principal congruence subgroup Gamma^{hat}(n).at n=41A000114
- Number of n-node rooted trees of height 3.at n=12A000235
- Associated Stirling numbers.at n=3A000276
- Rencontres numbers: number of permutations of [n] with exactly two fixed points.at n=7A000387
- Figurate numbers or binomial coefficients C(n,6).at n=12A000579
- Invertible Boolean functions of n variables.at n=3A000652
- Expansion of Product_{n>=1} (1 - x^n)^7.at n=39A000730
- Numbers beginning with letter 'n' in English.at n=36A000981
- Central binomial coefficients: binomial(2*n,n) = (2*n)!/(n!)^2.at n=6A000984
- Smallest even number that is an unordered sum of two odd primes in exactly n ways.at n=47A001172
- a(n) = binomial(n, floor(n/2)).at n=12A001405
- a(n) = binomial(4n,2n) or (4*n)!/((2*n)!*(2*n)!).at n=3A001448
- Expansion of (Product_{j>=1} (1-(-x)^j) - 1)^8 in powers of x.at n=26A001486
- Number of n-stacks with strictly receding walls, or the number of Type A partitions of n in the sense of Auluck (1951).at n=25A001522
- Second-order reciprocal Stirling number (Fekete) a(n) = [[2n+3, n]]. The number of n-orbit permutations of a (2n+3)-set with at least 2 elements in each orbit. Also known as associated Stirling numbers of the first kind (e.g., Comtet).at n=2A001784
- Convolved Fibonacci numbers.at n=5A001874
- 2nd differences are periodic.at n=22A002082
- a(n) = Sum_{j=0..n} (n+j)*binomial(n+j,j).at n=4A002737
- Number of rooted trees with n vertices in which vertices at the same level have the same degree.at n=39A003238
- Numbers that are the sum of 12 positive 5th powers.at n=42A003357