3724
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 18
- Divisor Sum
- 7980
- Proper Divisor Sum (Aliquot Sum)
- 4256
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 1512
- Möbius Function
- 0
- Radical
- 266
- Omega Function (Ω)
- 5
- 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
- 38
- 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
- Coordination sequence T2 for Zeolite Code NES.at n=39A008206
- Coordination sequence T4 for Zeolite Code -CHI.at n=39A009849
- a(n) = (2*n - 9)*n^2.at n=14A015243
- Numbers k such that k | (phi(k) * sigma(k)) but (phi(k) + sigma(k))/k does not increase.at n=32A015708
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite MFS = ZSM-57 H1.5[Al1.5Si34.5O72] starting with a T3 atom.at n=11A019171
- a(n)-th nonsquarefree is sum of first k nonsquarefrees for some k.at n=40A020644
- Number of sums S of distinct positive integers satisfying S <= n.at n=33A026906
- Expansion of Product_{k >= 1} 1/(1-x^k)^c(k), where c(1), c(2), ... = 2 3 2 3 2 3 2 3 ....at n=13A029863
- a(n) = (2*n - 1)*(3*n + 1).at n=25A033569
- Theta series of A2[hole]^4.at n=21A033690
- a(n) = ceiling((n + 1/2)^3).at n=14A034131
- E.g.f.: exp((exp(p*x)-p-1)/p+exp(x)) for p=12.at n=4A036082
- Offsets for the Atkin Partition Congruence theorem.at n=35A036492
- Number of partitions satisfying cn(0,5) < cn(2,5) + cn(3,5).at n=28A039841
- Numbers k such that the string 2,4 occurs in the base 10 representation of k but not of k-1.at n=41A044356
- Numbers k that divide sigma(k) * phi(k) and are not divisible by 6.at n=27A047630
- a(n) = T(2n-1,n) + T(2n,n+1) + ... + T(3n-3,2n-2) = sum over a period of n-th diagonal of array T given by A049828.at n=46A049833
- Iterated procedure 'composite k added to sum of its prime factors reaches a prime' yields 3 skipped primes.at n=28A050770
- Numbers whose 4th power is the sum of two positive cubes in a nontrivial way.at n=41A051387
- Row sums of triangle A054448 (second member of partial row sums triangle family of Fibonacci convolution triangle).at n=7A054449