2743
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 2968
- Proper Divisor Sum (Aliquot Sum)
- 225
- 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
- 2520
- Möbius Function
- 1
- Radical
- 2743
- 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
- 115
- 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
- no
- Odd
- yes
Appears in sequences
- Centered dodecahedral numbers.at n=6A005904
- x^3 + n*y^3 = 1 is solvable.at n=44A005988
- Coordination sequence T6 for Zeolite Code DFO.at n=40A009880
- Coordination sequence T2 for Zeolite Code RSN.at n=34A009886
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite MAZ = Mazzite (Na2,K2,Ca,Mg)5[Al10Si26O72].28H2O starting from a T2 atom.at n=11A019143
- Expansion of 1/((1-4x)(1-6x)(1-9x)).at n=3A019443
- Pseudoprimes to base 14.at n=18A020142
- Strong pseudoprimes to base 14.at n=2A020240
- Convolution of odd numbers and A000201.at n=16A023658
- a(n) = s(1)*t(n) + s(2)*t(n-1) + ... + s(k)*t(n+1-k), where k = [ (n+1)/2 ], s = (Fibonacci numbers), t = (Lucas numbers).at n=12A024459
- Coordination sequence T7 for Zeolite Code MWW.at n=35A024992
- T(4n,n), where T is the array in A026268.at n=4A026294
- An "extremely strange sequence": a(n+1) = [ A*a(n)+B ]/p^r, where p^r is the highest power of p dividing [ A*a(n)+B ] and p=2, A=4.001, B=1.2.at n=22A028948
- Numbers whose base-14 expansion has no run of digits with length < 2.at n=25A033027
- a(1) = 1; a(n) is smallest number >= a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime.at n=33A033680
- Sort-then-add sequence: a(1) = 316, a(n+1) = a(n) + sort(a(n)).at n=4A033861
- a(0)=2; a(n) is the smallest k > a(n-1) such that the fractional part of k^(1/9) starts with n.at n=41A034074
- Cycle of 2 steps possible for 'concatenate a(n) and nextprime(a(n)) is a prime'.at n=23A034592
- Gaps of 7 in sequence A038593 (upper terms).at n=14A038654
- Numbers ending with '3' that are the difference of two positive cubes.at n=7A038858