4254
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
- 8
- Divisor Sum
- 8520
- Proper Divisor Sum (Aliquot Sum)
- 4266
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 1416
- Möbius Function
- -1
- Radical
- 4254
- 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
- 77
- 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
- yes
- Odd
- no
Appears in sequences
- Coordination sequence T1 for Zeolite Code AEL.at n=43A008004
- Coordination sequence T3 for Zeolite Code DDR.at n=41A008073
- Coordination sequence T5 for Zeolite Code RUT.at n=43A009901
- Numbers k such that Fibonacci(k) == 8 (mod k).at n=34A023177
- 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=29A031540
- Numbers with exactly five distinct base-8 digits.at n=2A031985
- Number of partitions satisfying (cn(0,5) = 0 and cn(2,5) <= cn(1,5) and cn(3,5) <= cn(1,5) and cn(2,5) <= cn(4,5) and cn(3,5) <= cn(4,5)).at n=41A036806
- Numbers whose base-7 representation contains exactly three 5's.at n=31A043415
- a(n)=T(n,n+3), array T as in A049723.at n=35A049731
- Numbers k such that x = 2^k-2 satisfies phi(x)+2 = phi(x+2).at n=18A050475
- Number of polydrafters: a(n) is the number of polydrafters with n cells.at n=6A056842
- Sum of even composites up to n is palindromic.at n=8A058851
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 77 ).at n=19A063350
- Sum over all subsets of {1,..,n} of the GCD of the subset.at n=11A065568
- Smallest of four consecutive integers divisible by four consecutive primes respectively.at n=24A072555
- Least non-balanced x (i.e., not in A020492) such that sigma(2n-1,x)/phi(x) is an integer.at n=13A078539
- Least non-balanced x (i.e., not in A020492) such that sigma(p(n),x)/phi(x) is an integer, where p(n) = n-th prime.at n=9A078540
- Record-setting differences between adjacent elements of the Mian-Chowla sequence A005282.at n=31A080222
- Triangle T(n,k) read by rows, where T(n,k) = number of times the permanent of a real n X n (0,1)-matrix takes the value k, for n >= 0, 0 <= k <= n!.at n=18A089479
- Numbers m such that the permutation of the first m natural numbers S_m(n) = if(1<=n<m-pi(m),c(n),prime(n-m-pi(m))) is a cyclic permutation where c(k) is the k-th composite number and prime(0)=1(for each natural number k, c(k)=A002808(k)).at n=23A108516