2313
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
- 6
- Divisor Sum
- 3354
- Proper Divisor Sum (Aliquot Sum)
- 1041
- 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
- 1536
- Möbius Function
- 0
- Radical
- 771
- Omega Function (Ω)
- 3
- 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
- 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
- Smallest number that requires n iterations of the unitary totient function (A047994) to reach 1.at n=17A003271
- Representation degeneracies for boson strings.at n=28A005291
- 11*n^2 + 11*n + 3.at n=14A006222
- Coordination sequence T1 for Zeolite Code BIK.at n=29A008047
- Coordination sequence T1 for Zeolite Code ACO, ASV, EDI, and THO.at n=34A008084
- Coordination sequence T1 for Zeolite Code LTA and RHO.at n=38A008137
- Coordination sequence T2 for Zeolite Code THO.at n=34A008239
- Coordination sequence T2 for Zeolite Code VFI.at n=37A008246
- Coordination sequence T4 for Zeolite Code -CLO.at n=42A009853
- a(n) = floor(n*(n - 1)*(n - 2)/32).at n=43A011914
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = (1, p(1), p(2), ...), t = (composite numbers).at n=19A024480
- a(n) = least m such that if r and s in {1/2, 1/4, 1/6,..., 1/2n} satisfy r < s, then r < k/m < s for some integer k.at n=38A024820
- Least m such that if r and s in {1/1, 1/4, 1/9,..., 1/n^2} satisfy r < s, then r < k/m < s for some integer k.at n=18A024827
- Least m such that if r and s in {1/4, 1/8, 1/12, ..., 1/4n} satisfy r < s, then r < k/m < (k+1)/m < s for some integer k.at n=18A024839
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (1, p(1), p(2), ...), t = (composite numbers).at n=18A025100
- a(n) = (d(n)-r(n))/2, where d = A026057 and r is the periodic sequence with fundamental period (0,0,1,0).at n=23A026058
- Expansion of Product_{m>=1} (1 + q^m)^(3*m).at n=8A027346
- Numbers k that divide the (left) concatenation of all numbers <= k written in base 16 (most significant digit on left).at n=12A029485
- Numbers whose set of base-8 digits is {1,4}.at n=26A032820
- Every run of digits of n in base 8 has length 2.at n=29A033006