3699
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 27
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 5520
- Proper Divisor Sum (Aliquot Sum)
- 1821
- 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
- 2448
- Möbius Function
- 0
- Radical
- 411
- 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
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 69
- 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
- no
- Odd
- yes
Appears in sequences
- Smallest k such that the product of q/(q-1) over the primes from prime(n) to prime(n+k-1) is greater than 2.at n=40A001276
- Number of nonzero elements in the character table of the symmetric group S_n.at n=11A006908
- Crystal ball sequence for planar net 3.6.3.6.at n=40A008580
- a(n)=a(n-1)+a(n-4).at n=25A014098
- Rectilinear crossing number of complete graph on n nodes.at n=23A014540
- a(n) = least m such that if r and s in {1/2, 1/4, 1/6,..., 1/2n} satisfy r < s, then r < k/m < s for some integer k.at n=48A024820
- Number of n-move queen paths on 8x8 board from given corner to same corner.at n=4A025604
- Maximal number of pairs of minimal vectors in n-dimensional laminated lattice.at n=18A028924
- 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 59.at n=22A031557
- Number of partitions of n with equal number of parts congruent to each of 0 and 3 (mod 4).at n=36A035542
- Number of partitions of n into parts not of the form 21k, 21k+4 or 21k-4. Also number of partitions with at most 3 parts of size 1 and differences between parts at distance 9 are greater than 1.at n=30A035982
- Numerators of continued fraction convergents to sqrt(74).at n=9A041130
- Numerators of continued fraction convergents to sqrt(296).at n=5A041556
- Numbers n such that string 9,9 occurs in the base 10 representation of n but not of n-1.at n=36A044431
- Numbers n such that string 9,9 occurs in the base 10 representation of n but not of n+1.at n=36A044812
- a(n) = Sum_{i=0..2n} (-1)^i * T(i,2n-i), array T as in A049747.at n=44A049749
- Matrix 9th power of partition triangle A008284.at n=30A050303
- Numbers n such that n | 12^n + 11^n + 10^n + 9^n + 8^n + 7^n.at n=22A057257
- Coordination sequence T5 for Zeolite Code SFE.at n=40A057321
- a(n) = 2*n^2 + 1.at n=43A058331