2343
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 3456
- Proper Divisor Sum (Aliquot Sum)
- 1113
- 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
- 1400
- Möbius Function
- -1
- Radical
- 2343
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 151
- 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
- no
- Odd
- yes
Appears in sequences
- Denominators of cosecant numbers: -2*(2^(2*n-1)-1)*Bernoulli(2*n).at n=35A001897
- Pentagonal numbers written backwards.at n=48A004163
- Denominators of expansion of sinh x / sin x.at n=35A006656
- Oscillates under partition transform.at n=44A007212
- Coordination sequence T2 for Zeolite Code EUO.at n=30A008097
- Coordination sequence T1 for Zeolite Code LTL.at n=36A008138
- a(n) = prime(n)*(prime(n-1)-1)/2.at n=17A014302
- Coordination sequence T3 for Zeolite Code IFR.at n=34A024984
- Index of 8^n within the sequence of the numbers of the form 3^i*8^j (A025615).at n=49A025728
- a(n) = Sum_{j=0..i, i=0..n} T(i,j), where T is the array in A026374.at n=9A026384
- Sequence satisfies T^2(a)=a, where T is defined below.at n=44A027595
- Lucky numbers with size of gaps equal to 8 (upper terms).at n=23A031891
- Lucky numbers with size of gaps equal to 12 (lower terms).at n=27A031894
- Numbers whose set of base-5 digits is {3,4}.at n=30A032829
- a(n) = n*(2*n+5).at n=33A033537
- Fractional part of square root of a(n) starts with 4: first term of runs.at n=47A034110
- First differences give (essentially) A028242.at n=26A035107
- Number of partitions of n into parts not of form 4k+2, 12k, 12k+1 or 12k-1.at n=56A036017
- Coordination sequence T3 for Zeolite Code SFF.at n=32A038433
- Base-5 palindromes that start with 3.at n=30A043008