4143
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
- 4
- Divisor Sum
- 5528
- Proper Divisor Sum (Aliquot Sum)
- 1385
- 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
- 2760
- Möbius Function
- 1
- Radical
- 4143
- 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
- 64
- 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
- Juxtapose pairs of primes.at n=6A007795
- Coordination sequence T3 for Zeolite Code EUO.at n=40A008098
- Coordination sequence T5 for Zeolite Code EUO.at n=40A008100
- a(n) = floor(n*(n - 1)*(n - 2)/32).at n=52A011914
- Super-3 Numbers (3n^3 contains substring '333' in its decimal expansion).at n=34A014569
- Conjectured number of irreducible multiple zeta values of depth 7 and weight 2n+19.at n=15A022495
- a(n) = (d(n)-r(n))/5, where d = A026063 and r is the periodic sequence with fundamental period (1,4,0,0,0).at n=39A026065
- 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 42.at n=23A031540
- Concatenation of n and n + 2 or {n,n+2}.at n=40A032607
- a(0)=2; a(n) is the smallest k > a(n-1) such that the fractional part of k^(1/10) starts with n.at n=30A034075
- Dirichlet convolution of b_n=1 with Bell numbers.at n=8A034732
- Numbers whose base-16 representation has exactly 4 runs.at n=29A043677
- Numbers whose base-5 representation contains exactly two 1's and three 3's.at n=16A045243
- Concatenate the n-th and (n+1)st prime.at n=12A045533
- a(1) = 9; a(n) is smallest number >= a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime.at n=28A046259
- Sum{T(i,n-i): i=0,1,...,n}, array T as in A047120.at n=13A047121
- Concatenate prevprime(n) and n.at n=40A049851
- Concatenate "n" and "nextprime(n)".at n=40A049852
- Starting positions of strings of 2 7's in the decimal expansion of Pi.at n=35A050254
- Expansion of ( 1-x ) / ( 1-x-3*x^2+x^3 ).at n=12A052973