3804
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
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 8904
- Proper Divisor Sum (Aliquot Sum)
- 5100
- 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
- 1264
- Möbius Function
- 0
- Radical
- 1902
- Omega Function (Ω)
- 4
- 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
- 30
- 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
- Number of bipartite partitions of n white objects and 5 black ones.at n=10A000491
- a(n) = a(n-1) + a(n-2) with a(0)=2, a(1)=5. Sometimes called the Evangelist Sequence.at n=15A001060
- Number of stacks, or planar partitions of n; also weakly unimodal compositions of n.at n=17A001523
- Number of bipartite partitions of n white objects and 10 black ones.at n=5A002759
- Bond percolation series for square lattice.at n=14A006727
- Coordination sequence T7 for Zeolite Code DDR.at n=39A008077
- Coordination sequence T4 for Zeolite Code DOH.at n=38A008081
- Coordination sequence T8 for Zeolite Code MFS.at n=38A008180
- Coordination sequence T1 for Zeolite Code MTN.at n=37A008186
- Coordination sequence for diamond.at n=39A008253
- Coordination sequence for CaF2(2), F position.at n=39A009925
- a(n) = F(n+1) + L(n), where F(n) and L(n) are Fibonacci and Lucas numbers, respectively.at n=16A013655
- [ (3rd elementary symmetric function of S(n))/(first elementary symmetric function of S(n)) ], where S(n) = {first n+2 positive integers congruent to 1 mod 4}.at n=7A024386
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 30.at n=42A031528
- Number of quasi-initially connected digraphs with n labeled nodes.at n=3A049414
- Discriminants of real quadratic number fields K with class number 2 such that the Hilbert class field of K is K(sqrt(3)).at n=25A052477
- Number of polygons of length 2n with one hole on square lattice (not allowing rotations).at n=3A056634
- Nested floor product of n and fractions (k+1)/k for all k>0 (mod 5), divided by 5.at n=11A073362
- a(1) = 1, a(n+1) is the smallest number such that there are n primes between a(n) and a(n+1) exclusive.at n=32A075342
- Triangle T(n,k) (n >= 2, 1 <= k <= n-1) read by rows, where T(n,k) is the number of words of length n in the free group on three generators that require exactly k multiplications for their formation.at n=26A076262