3202
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 7
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 4806
- Proper Divisor Sum (Aliquot Sum)
- 1604
- 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
- 1600
- Möbius Function
- 1
- Radical
- 3202
- Omega Function (Ω)
- 2
- 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
- 61
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- 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
- Generalized Catalan numbers: a(n+1) = a(n) + Sum_{k=2..n-1} a(k)*a(n-1-k).at n=14A004149
- Number of points on surface of tetrahedron; coordination sequence for sodalite net (equals 2*n^2+2 for n > 0).at n=40A005893
- Coordination sequence T4 for Zeolite Code MFS.at n=35A008176
- Coordination sequence T7 for Zeolite Code MTT.at n=35A008195
- Coordination sequence T3 for Zeolite Code THO.at n=40A008240
- Coordination sequence T2 for feldspar.at n=38A008255
- Coordination sequence for body-centered tetragonal lattice.at n=20A008527
- Molien series for A_7.at n=34A008630
- Coordination sequence T1 for Zeolite Code DFO.at n=43A009875
- Coordination sequence for CaF2(1), F position.at n=19A009924
- a(0) = 1, a(n) = 32*n^2 + 2 for n > 0.at n=10A010021
- Numbers k such that the continued fraction for sqrt(k) has period 7.at n=26A010338
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite YUG = Yugawaralite Ca2[Al4Si12O32].8H2O starting at a T1 atom.at n=11A019264
- Pisot sequence P(7,11), a(0)=7, a(1)=11, a(n+1) is the nearest integer to a(n)^2/a(n-1). Agrees with A021014 only for n <= 20.at n=14A021013
- a(n)=a(n-1)+a(n-2)-a(n-4)+a(n-5).at n=14A021014
- n written in fractional base 7/3.at n=51A024640
- a(n) = least m such that if r and s in {1/1, 1/4, 1/7,..., 1/(3n-2)} satisfy r < s, then r < k/m < s for some integer k.at n=37A024822
- a(n) = least m such that if r and s in {1/1, 1/2, 1/3, ..., 1/n} satisfy r < s, then r < k/m < (k+2)/m < s for some integer k.at n=34A024840
- Position of numbers of form 3*n^2 in A025060 (numbers of form j*k + k*i + i*j, where 1 <=i < j < k).at n=29A025064
- Number of partitions of n with equal nonzero number of parts congruent to each of 0, 1 and 4 (mod 5).at n=50A035584