2068
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 4032
- Proper Divisor Sum (Aliquot Sum)
- 1964
- 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
- 920
- Möbius Function
- 0
- Radical
- 1034
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 125
- 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
- Definition (1): Number of n-bead binary necklaces with beads of 2 colors where the colors may be swapped but turning over is not allowed.at n=16A000013
- Number of even sequences with period 2n (bisection of A000013).at n=8A000116
- a(n) = ceiling(n*phi^8), where phi is the golden ratio, A001622.at n=44A004963
- Number of cycles induced by iterating the Gray-coding of an n-bit number: a(n+1) = a(n) + 2^n/C_n, where C_n = least power of 2 >= n (C_n is the length of the cycle), with a(0) = 1.at n=15A007886
- Six iterations of Reverse and Add are needed to reach a palindrome.at n=40A015984
- Expansion of 1/(1-x^5-x^6-x^7).at n=51A017838
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite LOV = Lovdarite K4Na12 [Be8Si28O72].18H2O starting with a T3 atom.at n=11A019141
- Numbers k such that the continued fraction for sqrt(k) has period 22.at n=45A020361
- Fibonacci sequence beginning 2, 22.at n=11A022373
- a(n) = [ a(n-1)/a(1) + a(n-1)/a(2) + ... + a(n-1)/a(n-1) ] for n >= 3, with initial terms 2,1.at n=9A022873
- Convolution of natural numbers with Beatty sequence for tau^2 A001950.at n=15A023542
- a(n) = Sum_{k=1..n} k*[ (n/k)*[ n/k ] ].at n=24A024932
- Number of partitions of n in which the least part is odd.at n=25A026804
- a(n) = binomial(n+2, 2) + binomial(n+4, 5).at n=10A027658
- a(n) = n*(n+3).at n=44A028552
- Expansion of Product_{d | 24} theta_3(q^d).at n=43A033736
- Number of partitions of n with equal nonzero number of parts congruent to each of 0, 1 and 2 (mod 5).at n=49A035582
- Number of partitions of n into parts 4k+1 and 4k+2 with at least one part of each type.at n=40A035624
- a(n) is the smallest number such that the product a(1)a(2)...a(n) falls between a twin prime pair, starting with a(1)=2.at n=61A036014
- Denominators of continued fraction convergents to sqrt(73).at n=7A041129