3552
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
- 2
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 9576
- Proper Divisor Sum (Aliquot Sum)
- 6024
- 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
- 1152
- Möbius Function
- 0
- Radical
- 222
- Omega Function (Ω)
- 7
- 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
- 74
- 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
- Nim product 2^n * 2^n.at n=11A006017
- Coordination sequence T1 for Zeolite Code GIS.at n=44A008266
- Theta series of direct sum of 4 copies of D_4 lattice.at n=2A008660
- Coordination sequence T5 for Zeolite Code CON.at n=42A009872
- a(n) = b(n) - c(n) where b(n) is the n-th Lucas number greater than 3 and c(n) is the n-th number not in sequence b( ).at n=14A014252
- Aliquot sequence starting at 552.at n=4A014360
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite MTW = ZSM-12 Nan[AlnSi28-nO56] starting with a T4 atom.at n=11A019196
- a(n) = number of (s(0), s(1), ..., s(n)) such that every s(i) is an integer, s(0) = 0, |s(i) - s(i-1)| = 1 for i = 1,2; |s(i) - s(i-1)| <= 1 for i >= 3, s(n) = 1. Also a(n) = T(n,n-1), where T is the array defined in A024996.at n=9A024998
- Least modulus >= 3 having maximum run of n consecutive non-residues.at n=51A025034
- a(n) = (d(n)-r(n))/2, where d = A026043 and r is the periodic sequence with fundamental period (1,1,0,0).at n=24A026044
- a(n) = Sum_{k=0..n-2} T(n,k) * T(n,k+2), with T given by A026637.at n=5A026968
- a(n) = Sum_{k=0..2n-1} T(n,k) * T(n,k+1), with T given by A025177.at n=4A027258
- Expansion of (theta_3(z)*theta_3(17z)+theta_2(z)*theta_2(17z))^4.at n=39A028636
- Product of n with 666 is palindromic.at n=23A030094
- 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=17A031527
- Numbers whose base-7 representation contains exactly three 3's.at n=29A043407
- Number of character table entries of the symmetric group S_n which are > 0.at n=12A051749
- Number of positive integers <= 2^n of form 3 x^2 + 7 y^2.at n=15A054164
- A014486-encodings of Catalan mountain ranges with no sea-level valleys, i.e., the rooted plane general trees with root degree = 1.at n=36A057547
- Numbers n such that n = A059333(A059333(n)).at n=46A059359