3243
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 4608
- Proper Divisor Sum (Aliquot Sum)
- 1365
- 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
- 2024
- Möbius Function
- -1
- Radical
- 3243
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 48
- 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
- Parenthesized one way gives the powers of 2: (1), (2), (1+3), ..., another way the powers of 3: (1), (2+1), (3+6), ....at n=23A006895
- Coordination sequence T2 for Zeolite Code GOO.at n=39A008112
- a(n) = floor(n*(n-1)*(n-2)/30).at n=47A011912
- a(n) = floor(n*(n - 1)*(n - 2)/32).at n=48A011914
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite BRE = Brewsterite (Sr,Ba)2[Al4Si12O32].10H2O starting with a T2 atom.at n=11A019086
- 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 17.at n=28A031515
- Lucky numbers with size of gaps equal to 8 (upper terms).at n=37A031891
- Lucky numbers with size of gaps equal to 16 (lower terms).at n=9A031898
- Number of partitions of n with equal nonzero number of parts congruent to each of 0 and 2 (mod 3).at n=38A035538
- Base 7 digits are, in order, the first n terms of the periodic sequence with initial period 1,2,3.at n=4A037607
- Coordination sequence T13 for Zeolite Code STT.at n=38A038420
- Denominators of continued fraction convergents to sqrt(214).at n=10A041399
- Denominators of continued fraction convergents to sqrt(856).at n=10A042653
- a(n)=(s(n)+2)/8, where s(n)=n-th base 8 palindrome that starts with 6 (in base 8), written in decimal digits.at n=39A043070
- Numbers n such that string 4,3 occurs in the base 10 representation of n but not of n-1.at n=35A044375
- Numbers n such that string 4,3 occurs in the base 10 representation of n but not of n+1.at n=35A044756
- Numbers m such that the factorizations of m..m+3 have the same number of primes (including multiplicities).at n=10A045940
- Triangular matchstick numbers: a(n) = 3*n*(n+1)/2.at n=46A045943
- a(1) = 6; a(n) is smallest number >= a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime.at n=30A046256
- Numbers n such that n | sigma_3(n) + sigma_2(n) + sigma_1(n) + sigma_0(n).at n=11A058076