2384
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 10
- Divisor Sum
- 4650
- Proper Divisor Sum (Aliquot Sum)
- 2266
- 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
- 1184
- Möbius Function
- 0
- Radical
- 298
- Omega Function (Ω)
- 5
- 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
- 27
- 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 that are the sum of 11 positive 6th powers.at n=36A003367
- Coordination sequence T2 for Zeolite Code AFR.at n=37A008020
- Coordination sequence T3 for Zeolite Code AFR.at n=37A008021
- Coordination sequence T5 for Zeolite Code GOO.at n=33A008115
- Coordination sequence T1 for Zeolite Code -PAR.at n=35A009855
- Coordination sequence T1 for Zeolite Code AHT.at n=33A009866
- a(n) = floor( n*(n-1)*(n-2)/23 ).at n=39A011905
- a(n) = a(n-1) + a(n-2) + 1, with a(0) = 1 and a(1) = 8.at n=13A022322
- Numbers that are the sum of 4 nonzero squares in exactly 10 ways.at n=35A025366
- Expansion of (theta_3(z)*theta_3(11z) + theta_2(z)*theta_2(11z))^4.at n=10A028612
- Expansion of (theta_3(z)*theta_3(15z) + theta_2(z)*theta_2(15z))^4.at n=13A028628
- 1 together with numbers of the form p*q^4 and p^9, where p and q are distinct primes.at n=46A030628
- Every run of digits of n in base 7 has length 2.at n=40A033005
- Number of partitions in parts not of the form 7k, 7k+1 or 7k-1. Also number of partitions with no part of size 1 and differences between parts at distance 2 are greater than 1.at n=45A035937
- Number of partitions satisfying cn(0,5) < cn(1,5) + cn(4,5) + cn(2,5) + cn(3,5).at n=25A039848
- Numerators of continued fraction convergents to sqrt(69).at n=6A041120
- Numerators of continued fraction convergents to sqrt(825).at n=7A042592
- Numbers k such that string 2,0 occurs in the base 8 representation of k but not of k-1.at n=42A044203
- Numbers k such that the string 3,8 occurs in the base 9 representation of k but not of k-1.at n=32A044286
- Numbers k such that string '84' occurs in the base 10 representation of k but not of k-1.at n=25A044416