3553
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- yes
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 4320
- Proper Divisor Sum (Aliquot Sum)
- 767
- 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
- 2880
- Möbius Function
- -1
- Radical
- 3553
- Omega Function (Ω)
- 3
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 56
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- no
- Odd
- yes
Appears in sequences
- Heptagonal numbers (or 7-gonal numbers): n*(5*n-3)/2.at n=38A000566
- a(2n) = a(2n-1) + 3a(2n-2), a(2n+1) = 2a(2n) + 3a(2n-1).at n=9A002537
- Number of nonequivalent dissections of an n-gon into 3 polygons by nonintersecting diagonals up to rotation.at n=32A003451
- Number of strict (-1)st-order maximal independent sets in cycle graph.at n=16A007390
- Coordination sequence T1 for Zeolite Code ATS.at n=43A008038
- Coordination sequence T1 for Zeolite Code NES.at n=38A008205
- Molien series of 4-dimensional representation of cyclic group of order 4 over GF(2) (not Cohen-Macaulay).at n=42A008610
- Expansion of e.g.f.: tan(log(1+sin(x))).at n=7A009637
- Coordination sequence T3 for Zeolite Code CON.at n=42A009870
- a(n) = floor(binomial(n,3)/3).at n=41A011849
- Orders of cyclotomic polynomials containing a coefficient the absolute value of which is >= 4.at n=15A013592
- Odd heptagonal numbers (A000566).at n=19A014637
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite MFI = ZSM-5 Nan[AlnSi96-nO192] starting with a T2 atom.at n=11A019159
- Pseudoprimes to base 12.at n=23A020140
- Pseudoprimes to base 45.at n=29A020173
- Pseudoprimes to base 56.at n=29A020184
- Pseudoprimes to base 65.at n=24A020193
- Pseudoprimes to base 87.at n=24A020215
- a(n)-th nonsquarefree is sum of first k nonsquarefrees for some k.at n=38A020644
- Expansion of Product_{m>=1} (1-m*q^m)^17.at n=5A022677