4204
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 7364
- Proper Divisor Sum (Aliquot Sum)
- 3160
- 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
- 2100
- Möbius Function
- 0
- Radical
- 2102
- Omega Function (Ω)
- 3
- 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
- 95
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- Numbers m such that 3*2^m - 1 is prime.at n=28A002235
- Positive even numbers that are not the sum of a pair of twin primes.at n=32A007534
- Coordination sequence T4 for Zeolite Code DAC.at n=41A008070
- Coordination sequence for diamond.at n=41A008253
- Coordination sequence T2 for Keatite.at n=36A009845
- Coordination sequence T7 for Zeolite Code VNI.at n=40A009913
- Coordination sequence for CaF2(2), F position.at n=41A009925
- a(n) = F(n+2) + c(n) where F(k) is k-th Fibonacci number and c(n) is n-th number that is 1 or is a non-Fibonacci number.at n=16A022800
- Numbers k such that Fibonacci(k) == 3 (mod k).at n=46A023175
- a(n) = b(n) + d(n), where b(n) = (n-th Fibonacci number > 2) and d(n) = (n-th non-Fibonacci number).at n=15A023486
- a(n) = b(n) + d(n), where b(n) = (n-th Fibonacci number > 1) and d(n) = (n-th non-Lucas number).at n=16A023491
- Convolution of Lucas numbers and primes.at n=11A023625
- n written in fractional base 6/4.at n=22A024637
- a(n) = s(1)*t(n) + s(2)*t(n-1) + ... + s(k)*t(n-k+1), where k = [ n/2 ], s = (natural numbers >= 2), t = (Lucas numbers).at n=11A024873
- 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 32.at n=35A031530
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 56 ones.at n=3A031824
- Trajectory of 1 under map n->21n+1 if n odd, n->n/2 if n even.at n=15A033967
- Trajectory of 3 under map n->21*n+1 if n odd, n->n/2 if n even.at n=22A037108
- Numbers whose base-8 representation has exactly 5 runs.at n=32A043627
- Pisot sequence L(2,7).at n=6A048576