2331
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 3952
- Proper Divisor Sum (Aliquot Sum)
- 1621
- 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
- 1296
- Möbius Function
- 0
- Radical
- 777
- Omega Function (Ω)
- 4
- 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
- yes
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 107
- 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
- no
- Odd
- yes
Appears in sequences
- Restricted partitions.at n=15A002573
- Expansion of x*(1+x-x^2)/((1-x)^4*(1+x)).at n=28A005744
- Centered cube numbers: n^3 + (n+1)^3.at n=10A005898
- G.f.: Product_{k>=1} (1 + x^(2*k - 1)) / (1 - x^(2*k)).at n=35A006950
- Coordination sequence T3 for Zeolite Code CAS.at n=30A008065
- Coordination sequence T4 for Zeolite Code MFS.at n=30A008176
- Molien series for A_11.at n=27A008634
- Number of partitions of n into at most 11 parts.at n=27A008640
- a(n) = floor( n*(n-1)*(n-2)/20 ).at n=37A011902
- Numbers k that divide s(k), where s(1)=1, s(j)=7*s(j-1)+j.at n=26A014854
- Numbers k that divide s(k), where s(1)=1, s(j)=9*s(j-1)+j.at n=20A014857
- a(n) = 2*(n+1) + 3*n + ... + (k+1)*(n+2-k), where k = floor((n+1)/2).at n=26A024305
- Numbers that are the sum of 4 distinct positive cubes in exactly 2 ways.at n=31A025409
- Numbers that are the sum of 4 distinct positive cubes in 2 or more ways.at n=33A025412
- Divisors of 999999.at n=37A027892
- Divisors of 10^12 - 1.at n=44A027897
- Positions of records in A030717.at n=48A030722
- Concatenation of n-th prime number and n-th lucky number.at n=8A032603
- Concatenation of n and n + 8 or {n,n+8}.at n=22A032613
- Numbers whose set of base-8 digits is {3,4}.at n=26A032832