3732
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
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 8736
- Proper Divisor Sum (Aliquot Sum)
- 5004
- 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
- 1240
- Möbius Function
- 0
- Radical
- 1866
- 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
- 87
- 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
- Coordination sequence T7 for Zeolite Code EUO.at n=38A008102
- Coordination sequence T1 for Zeolite Code LTL.at n=45A008138
- Coordination sequence T4 for Zeolite Code MTW.at n=40A008199
- Coordination sequence T2 for Zeolite Code VET.at n=37A009903
- a(n) = n*(13*n - 1)/2.at n=24A022270
- T(2n-1,n), where T is the array defined in A025564.at n=5A025569
- a(n) = T(n,[ n/2 ]+1), where T is the array defined in A025564.at n=9A025576
- Least term in period of continued fraction for sqrt(n) is 10.at n=12A031434
- Decimal part of a(n)^(1/3) starts with reversal of its integer part: first term of runs.at n=13A034309
- Number of partitions of n into parts not of the form 19k, 19k+6 or 19k-6. Also number of partitions with at most 5 parts of size 1 and differences between parts at distance 8 are greater than 1.at n=29A035975
- Number of primes less than 1000n.at n=34A038812
- Let (u1,u2) be successive untouchable numbers such that phi(u1) = phi(u2) = k; sequence gives values of k.at n=21A048191
- Number of primitive (period n) step cyclic shifted sequence structures using a maximum of two different symbols.at n=19A056439
- Number of primitive (period n) step cyclic shifted sequence structures using exactly two different symbols.at n=19A056444
- A014486-encodings of Catalan mountain ranges with no sea-level valleys, i.e., the rooted plane general trees with root degree = 1.at n=42A057547
- Numbers k such that phi(x) = k has exactly 5 solutions.at n=42A060668
- Numbers k such that prime(k) + k and prime(k) - k are both primes.at n=46A064403
- One of a family of sequences that interpolates between the Bell numbers and the factorials.at n=6A068199
- Number of incongruent ways to tile a 4 X n room with 1 X 2 Tatami mats. At most 3 Tatami mats may meet at a point.at n=49A068929
- a(1)=a(2)=1; a(n)=reverse(reverse(a(n-1))+reverse(a(n-2))) for n > 2.at n=19A072210