4294
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 6840
- Proper Divisor Sum (Aliquot Sum)
- 2546
- 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
- 2016
- Möbius Function
- -1
- Radical
- 4294
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 25
- 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 T2 for Zeolite Code ATT.at n=47A008042
- Coordination sequence T2 for feldspar.at n=44A008255
- Coordination sequence for CaF2(1), F position.at n=22A009924
- a(n) = Sum_{k=0..n-1} T(n,k) * T(n,k+1), with T given by A026703.at n=5A026997
- Number of partitions of n into an even number of parts, the least being 2; also, a(n+2) = number of partitions of n into an odd number of parts, each >=2.at n=43A027194
- Poincaré (or Molien) series for ring of Siegel modular forms of genus 3 (associated with full modular group Gamma_3).at n=39A027634
- 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 64.at n=15A031562
- Numbers whose set of base-15 digits is {1,4}.at n=19A032827
- Coordination sequence T4 for Zeolite Code CFI.at n=43A033602
- Position of the first occurrence of n in continued fraction for Champernowne constant (A030167).at n=46A038706
- Pentagonal numbers multiplied by 2: a(n) = n*(3*n-1).at n=38A049450
- a(n) = (117*n^2 - 99*n + 2)/2.at n=9A050408
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 55 ).at n=40A063328
- a(n) = (2*n-1)*(5*n^2-5*n+2)/2.at n=9A063495
- Numbers n such that sigma(n) = phi(n) + phi(n-1) + phi(n-2).at n=4A067202
- Number of ways to write the n-th prime as a sum of distinct primes.at n=44A070215
- Trajectory of n under the Reverse and Add! operation carried out in base 4 (presumably) does not reach a palindrome and (presumably) does not join the trajectory of any term m < n.at n=13A075421
- (p^2 - 1)/12 where p > 3 runs through the primes.at n=46A081115
- Least k such that n^n + k is a palindrome.at n=8A085804
- Indices of primes in sequence defined by A(0) = 67, A(n) = 10*A(n-1) - 63 for n > 0.at n=15A101518