3384
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 9360
- Proper Divisor Sum (Aliquot Sum)
- 5976
- 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
- 1104
- Möbius Function
- 0
- Radical
- 282
- Omega Function (Ω)
- 6
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 35
- 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) = ceiling(n*phi^11), where phi is the golden ratio, A001622.at n=17A004966
- Expansion of x*(1+x-x^2)/((1-x)^4*(1+x)).at n=32A005744
- Expansion of 6-dimensional cusp form (eta(q) * eta(q^3))^6 in powers of q.at n=22A007332
- Coordination sequence T1 for Zeolite Code ABW and ATN.at n=40A008000
- Coordination sequence T5 for Zeolite Code NES.at n=37A008209
- Number of irreducible alternating Euler sums of depth 6 and weight 6+2n.at n=15A011796
- a(n) is nonsquarefree and is sum of first k nonsquarefrees for some k.at n=23A013935
- Coordination sequence T3 for Zeolite Code OSI.at n=38A016432
- a(n)-th nonsquarefree is sum of first k nonsquarefrees for some k.at n=36A020644
- Expansion of Product_{m>=1} (1+q^m)^(-18).at n=4A022613
- a(n) = 2*(n+1) + 3*n + ... + (k+1)*(n+2-k), where k = floor((n+1)/2).at n=30A024305
- Number of partitions of n into an odd number of parts, the least being 5; also, a(n+5) = number of partitions of n into an even number of parts, each >=5.at n=67A027191
- a(n) = self-convolution of row n of array T given by A026747.at n=6A027223
- Index of first occurrence of n as a term in A001203, the continued fraction for Pi.at n=51A032523
- Convolution of A000295(n+2) (n>=0) with itself.at n=6A034009
- Number of partitions satisfying (cn(0,5) <= cn(1,5) = cn(4,5) and cn(0,5) <= cn(2,5) and cn(0,5) <= cn(3,5)).at n=43A036813
- Numerators of continued fraction convergents to sqrt(560).at n=5A042072
- Numbers k such that string '84' occurs in the base 10 representation of k but not of k-1.at n=36A044416
- Numbers n such that string 8,4 occurs in the base 10 representation of n but not of n+1.at n=36A044797
- Numbers having, in base 15, (sum of even run lengths)=(sum of odd run lengths).at n=8A044886