3984
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 20
- Divisor Sum
- 10416
- Proper Divisor Sum (Aliquot Sum)
- 6432
- 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
- 1312
- Möbius Function
- 0
- Radical
- 498
- 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
- 51
- 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 equivalence classes of Boolean functions of n variables under action of symmetric group.at n=4A003180
- Number of partitions into pairs.at n=5A006198
- Number of 4-voter voting schemes with n linearly ranked choices.at n=5A007010
- Coordination sequence T4 for Zeolite Code GOO.at n=43A008114
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly three 1's.at n=45A013650
- Theta series of A*_11 lattice.at n=44A023923
- a(n) = (d(n)-r(n))/5, where d = A026040 and r is the periodic sequence with fundamental period (4,0,4,3,4).at n=36A026042
- a(n) = sum of the numbers between the two n's in A026366.at n=32A026369
- Numbers having period-1 5-digitized sequences.at n=41A031187
- Conjecturally, a power of 2 written in base 3 cannot have this many 0's.at n=31A036462
- Number of 4-ary rooted trees with n nodes and height exactly 4.at n=18A036628
- Let (u1,u2) be successive untouchable numbers such that phi(u1) = phi(u2) = k; sequence gives values of k.at n=24A048191
- The number phi_2(n) of Frobenius partitions that allow up to 2 repetitions of an integer in a row.at n=21A053993
- McKay-Thompson series of class 40C for Monster.at n=39A058664
- Number of binary bit strings of length n with no block of 8 or more 0's. Nonzero heptanacci numbers, A122189.at n=13A066178
- Multiples of 24 whose digits also sum to 24.at n=7A066270
- Numbers n such that the area of the parallelogram formed by the vectors (n, prime(n)) and (n+1, prime(n+1)) is an integer square, i.e., Det[{{n, prime(n)},{n+1, prime(n+1)}}] is an integer square.at n=25A067805
- a(1)=1, a(n) is the smallest integer > a(n-1) such that the largest element in the simple continued fraction for S(n)=1/a(1)+1/a(2)+...+1/a(n) equals 3n.at n=29A070899
- a(n) = A001147(n+1) * Integral_{x=0..1} (1 + x^2)^n dx.at n=4A076729
- d(n,s) = number of perfect matchings on {1, 2, ..., n} with s short pairs.at n=22A079267