1824
domain: N
Properties
Digital Properties
- Digit Count
- 4
- 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
- 5040
- Proper Divisor Sum (Aliquot Sum)
- 3216
- 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
- 576
- Möbius Function
- 0
- Radical
- 114
- Omega Function (Ω)
- 7
- 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
- 37
- Smith Number
- no
- Vampire 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
Appears in sequences
- Card matching: coefficients B[n,1] of t in the reduced hit polynomial A[n,n,n](t).at n=3A000279
- Expansion of 2*x^3/((1-2*x)^2*(1-4*x)).at n=7A000431
- a(n) = floor(Fibonacci(n)/6).at n=21A004699
- a(n) = floor(n*phi^9), where phi is the golden ratio, A001622.at n=24A004924
- a(n) = round(n*phi^9), where phi is the golden ratio, A001622.at n=24A004944
- a(n) = a(n-1) + a(n-8), with a(i) = 1 for i = 0..7.at n=40A005710
- Coordination sequence T7 for Zeolite Code DDR.at n=27A008077
- Coordination sequence for diamond.at n=27A008253
- Triangle read by rows: T(n,k) (n >= 1, 0 <= k <= ceiling(n/2)-1) = number of permutations of [n] with k peaks.at n=13A008303
- Number of partitions of n into at most 7 parts.at n=30A008636
- Coordination sequence T3 for Zeolite Code -CHI.at n=27A009848
- Coordination sequence T3 for Zeolite Code -PAR.at n=30A009857
- Coordination sequence for CaF2(2), F position.at n=27A009925
- Base-9 Armstrong or narcissistic numbers (written in base 10).at n=14A010353
- From applying the "rational mean" to the number e.at n=6A013999
- Theta series of lattice Kappa_11.at n=3A015229
- Numbers k such that sigma(k) = sigma(k+12).at n=20A015882
- Expansion of 1/(1 - x^8 - x^9 - ...).at n=48A017902
- Conjectured formula for irreducible 5-fold Euler sums of weight 2n+13.at n=24A019450
- Expansion of Product_{m >= 1} (1-m*q^m)^16.at n=6A022676