1784
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 3360
- Proper Divisor Sum (Aliquot Sum)
- 1576
- 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
- 888
- Möbius Function
- 0
- Radical
- 446
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 73
- 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
- a(n) = number of types of conjugacy classes in GL(n,q) (this is independent of q).at n=9A003606
- Number of words of length n in a certain language.at n=24A005819
- Weighted count of partitions with odd parts.at n=31A005896
- Numbers not of form p + 2^x + 2^y.at n=40A006286
- Expansion of a modular function.at n=15A006709
- Coordination sequence T1 for Moganite.at n=27A008258
- Coordination sequence T2 for Moganite, also for BGB1.at n=27A008259
- Year of birth of n-th President of U.S.A.at n=11A008745
- Expansion of (1+x)/((1-x)*(1-x^2)*(1-x^3)*(1-x^4)).at n=46A008762
- Coordination sequence for Cr3Si, Si position.at n=11A009927
- a(0) = 1, a(n) = 22*n^2 + 2 for n>0.at n=9A010012
- Partial sums of A003136.at n=37A014146
- Number of partitions of n into parts having a common factor.at n=48A018783
- Coordination sequence T4 for Zeolite Code SAO.at n=33A019574
- s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = A023532, t = (odd natural numbers).at n=54A024372
- Numbers that are the sum of 4 nonzero squares in exactly 10 ways.at n=34A025366
- Numbers that are the sum of 4 distinct nonzero squares in exactly 10 ways.at n=48A025385
- Number of n-move self-avoiding knight paths on 5 X 5 board, beginning at corner.at n=7A025589
- a(n) = Sum_{k=n+1..2*n} T(n,k), T given by A027052.at n=7A027077
- Coordination sequence T4 for Zeolite Code ITE.at n=29A027372