4295
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 5160
- Proper Divisor Sum (Aliquot Sum)
- 865
- 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
- 3432
- Möbius Function
- 1
- Radical
- 4295
- 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
- 77
- 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
- Coordination sequence T4 for Zeolite Code AFO.at n=43A008018
- Coordination sequence T6 for Zeolite Code MEL.at n=42A008155
- Expansion of Sum_{n>=0} (q^n / Product_{k=1..n+5} (1 - q^k)).at n=24A035301
- Number of 5-ary rooted trees with n nodes and height at most 8.at n=12A036619
- Denominators of continued fraction convergents to sqrt(813).at n=6A042569
- Discriminants of real quadratic fields with class number 2 and related continued fraction period length of 20.at n=31A051985
- Second spoke of a hexagonal spiral.at n=38A056106
- Let R(i,j) be the rectangle with antidiagonals 1; 2,3; 4,5,6; ...; each k is an R(i(k),j(k)) and A057044(n)=j(L(n)), where L(n) is the n-th Lucas number.at n=37A057044
- Numbers k such that sigma(k) - phi(k) is a cube.at n=25A062385
- Composite and every divisor (except 1) contains the digit 5.at n=37A062672
- Number of nonisomorphic cyclic subgroups of the group S_n X S_n (where S_n is the symmetric group of degree n).at n=39A063183
- Numbers n such that h(n) = 3 h(n-1) where h(n) is the length of the sequence {n, f(n), f(f(n)), ...., 1} in the Collatz (or 3x + 1) problem. (The earliest "1" is meant.)at n=6A078420
- Sum of 1-fibits in Zeckendorf-expansion A014417(p) summed for all primes p in range [Fib(n+1),Fib(n+2)[ (where Fib = A000045).at n=19A095353
- Numbers n such that 6*10^n+7 is prime.at n=16A103026
- Semiprimes in A056106.at n=13A113524
- a(n) = 12*n^2 + 22*n + 11.at n=18A154106
- Numbers n such that n-+5 are divisible by exactly 5 primes, counted with multiplicity.at n=38A157489
- Number of binary strings of length n with no substrings equal to 000, 010, or 111.at n=37A164317
- Let f(m) = number of steps needed to reach a Harshad number when the map k->A062028(l) is iterated starting at m; a(n) = smallest m such that f(m) = n.at n=42A181664
- Number of nondecreasing arrangements of n+2 numbers in 0..3 with each number being the sum mod 4 of two others.at n=25A183906