6744
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 16920
- Proper Divisor Sum (Aliquot Sum)
- 10176
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2240
- Möbius Function
- 0
- Radical
- 1686
- Omega Function (Ω)
- 5
- 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
- 44
- 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
- Number of unrooted achiral trees with n nodes.at n=31A003244
- a(n) = round(n*phi^14), where phi is the golden ratio, A001622.at n=8A004949
- a(n) = ceiling(n*phi^14), where phi is the golden ratio, A001622.at n=8A004969
- Sum(C(j)*(n-j)*4^(n-j),j=0..n-1), C = Catalan numbers.at n=5A018217
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite RON = Roggianite Ca16[Be8Al16Si32O104(OH)16].19H2O starting with a T1 atom.at n=14A019217
- 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 19.at n=41A031517
- Numbers k such that phi(x) = k has exactly 9 solutions.at n=34A060672
- Numbers k such that A000010(k) divides A074639(k).at n=40A074645
- Number of partitions of n into decimal repdigit numbers.at n=34A088669
- Number of partitions of n into decimal palindromes.at n=34A091580
- G.f. = (1 + 4 * g.f. for A096661)/(1 + 2 Sum_{m>=1} (-1)^m*q^(m^2)).at n=53A097042
- a(n) is the smallest number m such that for the n-digit number s=10^(n-1)+ m, 10*s+1, 10*s+3, 10*s+7 and 10*s+9 are primes.at n=14A097639
- Positions where values change in A100144.at n=42A100250
- Number of unimodular perfect graphs on n nodes.at n=7A123471
- a(n) = number of set partitions of {1, 2, ..., n} whose blocks consist only of elements that differ by two or less (that is, have only the forms {i}, {i,i+1}, {i,i+2}, or {i,i+1,i+2}).at n=13A129847
- Number of rooted trees with n points and exactly k specified colors: C(n,k), 1<=n, 1<=k<=n.at n=17A141610
- Number of zig-zag paths from top to bottom of a rectangle of width 11 with n rows whose color is that of the top right corner.at n=11A153369
- Number of zig-zag paths from top to bottom of a rectangle of width 11 with n rows whose color is not that of the top right corner.at n=11A153370
- Number of zig-zag paths from top to bottom of a rectangle of width 11 with 2n rows whose color is that of the top right corner.at n=5A153371
- Numbers k such that the number of digits d in k^2 is not prime and for each factor f of d the sum of the d/f digit groupings in k^2 of size f is a square.at n=18A153745