3288
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 5
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 8280
- Proper Divisor Sum (Aliquot Sum)
- 4992
- 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
- 1088
- Möbius Function
- 0
- Radical
- 822
- Omega Function (Ω)
- 5
- 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
- 136
- 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
- Column of Motzkin triangle.at n=7A005323
- Coordination sequence T2 for Zeolite Code YUG.at n=37A008248
- Coordination sequence T4 for Zeolite Code -CHI.at n=36A009849
- Number of lines through exactly 8 points of an n X n grid of points.at n=52A018815
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite MFS = ZSM-57 H1.5[Al1.5Si34.5O72] starting with a T6 atom.at n=11A019177
- Motzkin triangle, T, read by rows; T(0,0) = T(1,0) = T(1,1) = 1; for n >= 2, T(n,0) = 1, T(n,k) = T(n-1,k-2) + T(n-1,k-1) + T(n-1,k) for k = 1,2,...,n-1 and T(n,n) = T(n-1,n-2) + T(n-1,n-1).at n=62A026300
- 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 13.at n=28A031511
- Number of days in n years (n=1 is the first leap year).at n=8A033174
- Number of partitions of n into parts not of form 4k+2, 16k, 16k+5 or 16k-5.at n=44A036022
- Number of self-avoiding closed walks from 0 of area n in strip Z X {-1,0,1}.at n=9A038578
- Number of distinct quadratic residues mod 6^n.at n=6A039303
- Numbers k such that the string 5,3 occurs in the base 9 representation of k but not of k-1.at n=44A044299
- Numbers n such that string 8,8 occurs in the base 10 representation of n but not of n-1.at n=32A044420
- Numbers k such that string 8,8 occurs in the base 10 representation of k but not of k+1.at n=32A044801
- Numbers with multiplicative persistence value 5.at n=38A046514
- Numbers n such that n*M127 + 1 is prime, where M127 = 2^127 - 1.at n=39A057440
- Binary encodings of the Catalan mountain ranges with exactly one sea-level valley, i.e., the rooted plane trees with root degree = 2.at n=37A057517
- McKay-Thompson series of class 52a for Monster.at n=51A058707
- Numbers k such that phi(k) + 1 = x^2 and sigma(k) + 1 = y^2 for some x and y.at n=25A063532
- Numbers k such that sigma(k)+1 is a square and sets a new record for such squares.at n=26A063729