3688
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 6930
- Proper Divisor Sum (Aliquot Sum)
- 3242
- 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
- 1840
- Möbius Function
- 0
- Radical
- 922
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 38
- 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
- Related to coefficient of m in Jacobi elliptic function cn(z, m).at n=5A002754
- From a nim-like game.at n=30A003413
- Coordination sequence T2 for Zeolite Code AEL.at n=40A008005
- Coordination sequence T5 for Zeolite Code AET.at n=42A008011
- Coordination sequence T2 for Zeolite Code MAZ.at n=42A008145
- Coordination sequence T3 for Zeolite Code MEI.at n=44A008148
- E.g.f.: exp(x + sinh(x)).at n=8A009283
- Coordination sequence T3 for Zeolite Code RUT.at n=40A009899
- Coordination sequence T4 for Zeolite Code RUT.at n=40A009900
- Coordination sequence for MgNi2, Position Mg1.at n=15A009936
- Numbers k such that phi(k) + 9 | sigma(k + 9).at n=36A015788
- a(n) = 1*t(n) + 2*t(n-1) + ... + k*t(n+1-k), where k=floor((n+1)/2) and t = A008578 ({1} U primes).at n=22A023862
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k=[ (n+1)/2 ], s = (natural numbers >= 2), t = (natural numbers >= 3).at n=31A024306
- a(n) = 2*(n+1) + 3*n + ... + (k+1)*(n+2-k), where k = floor(n/2).at n=31A024868
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = floor( n/2 ), s = natural numbers >= 2, t = natural numbers >= 3.at n=30A024869
- a(n) = (d(n)-r(n))/2, where d = A026057 and r is the periodic sequence with fundamental period (0,0,1,0).at n=28A026058
- 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 29.at n=23A031527
- Number of ways to partition n elements into pie slices of different sizes allowing the pie to be turned over.at n=30A032228
- Numbers n such that string 8,8 occurs in the base 10 representation of n but not of n-1.at n=36A044420
- Numbers k such that string 8,8 occurs in the base 10 representation of k but not of k+1.at n=36A044801