6729
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 8976
- Proper Divisor Sum (Aliquot Sum)
- 2247
- 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
- 4484
- Möbius Function
- 1
- Radical
- 6729
- Omega Function (Ω)
- 2
- 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
- 137
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- Number of points on surface of tricapped prism: a(n) = 7*n^2 + 2 for n > 0, a(0)=1.at n=31A005919
- a(n) = floor(binomial(n,5)/5).at n=23A011851
- Numbers k such that the continued fraction for sqrt(k) has period 84.at n=16A020423
- 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=31A024839
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 54.at n=28A031552
- Schoenheim bound L_1(n,n-5,n-6).at n=16A036837
- Numbers having four 1's in base 8.at n=26A043428
- Numbers that are unchanged when turned upside down, when written in a font in which 7 looks like upside-down 2.at n=45A051791
- Numbers k such that 275*2^k + 1 is prime.at n=21A053354
- a(n) = T(n,n-4), array T as in A055818.at n=15A055821
- Numbers k such that the digits of k joined to the digits of 2k contain each of the digits from 1 to 9 once.at n=0A064160
- Nested floor product of n and fractions (k+1)/k for all k>0 (mod 3), divided by 3.at n=36A073360
- Third row of Pascal-(1,3,1) array A081578.at n=29A081585
- a(n) is the smallest positive integer k such that, if kn is written in base 2, it requires exactly n ones.at n=13A102032
- Semiprimes of the form 2*n + 1, where n is a square.at n=25A111351
- A106486-encodings of combinatorial games equivalent to game {0|1}.at n=30A125997
- a(n) = 2*n^3 - 2*n + 9.at n=14A127989
- a(n) is the ratio of the sum of the squares of the bends (curvatures) of the n-th generation of an Apollonian packing to the sum of the squares of the bends of the initial four-circle configuration.at n=3A137246
- a(n) = 841*n + 1.at n=7A158404
- The 3-D toothpick sequence A160160, but using toothpicks of length 4; a(n) is the number of nodes occupied after n steps.at n=32A160430