3793
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 3794
- Proper Divisor Sum (Aliquot Sum)
- 1
- 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
- 3792
- Möbius Function
- -1
- Radical
- 3793
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- 69
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 527
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Oscillates under partition transform.at n=38A007211
- Coordination sequence T3 for Zeolite Code PAU.at n=45A008221
- a(n) = floor(n*(n - 1)*(n - 2)/31).at n=50A011913
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite DOH = Dodecasil 1H [Si34O68].qR starting with a T3 atom.at n=11A019116
- Numbers k such that the continued fraction for sqrt(k) has period 65.at n=2A020404
- Primes that remain prime through 2 iterations of the function f(x) = 2x + 5.at n=47A023243
- Primes that remain prime through 2 iterations of the function f(x) = 5x + 8.at n=34A023255
- Primes that remain prime through 2 iterations of function f(x) = 8x + 3.at n=36A023261
- Primes that remain prime through 2 iterations of function f(x) = 9x + 4.at n=47A023266
- Primes that remain prime through 3 iterations of function f(x) = 9x + 4.at n=14A023297
- Primes that remain prime through 4 iterations of function f(x) = 9x + 4.at n=6A023325
- Right-truncatable primes: every prefix is prime.at n=36A024770
- Coordination sequence T4 for Zeolite Code IFR.at n=43A024985
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 26 ones.at n=31A031794
- Upper prime of a difference of 14 between consecutive primes.at n=20A031933
- Primes of form x^2+29*y^2.at n=33A033219
- Number of partitions of n with equal number of parts congruent to each of 2 and 4 (mod 5).at n=37A035560
- a(n)-th and (a(n)+1)-st primes are the first pair of primes that differ by exactly 2n; a(n) = -1 if no such pair of primes exists.at n=26A038664
- Denominators of continued fraction convergents to sqrt(353).at n=14A041669
- Denominators of continued fraction convergents to sqrt(510).at n=10A041975