6774
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
- 8
- Divisor Sum
- 13560
- Proper Divisor Sum (Aliquot Sum)
- 6786
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 2256
- Möbius Function
- -1
- Radical
- 6774
- 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
- 44
- 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
- yes
- Odd
- no
Appears in sequences
- a(n) = ceiling(n*phi^13), where phi is the golden ratio, A001622.at n=13A004968
- Number of partitions of n that do not contain 8 as a part.at n=32A027342
- 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=31A031552
- Numbers with exactly five distinct base-9 digits.at n=12A031986
- Numbers whose set of base-13 digits is {1,3}.at n=22A032920
- Numbers whose base-5 representation contains exactly two 0's and three 4's.at n=17A045213
- Number of conjugacy classes of elements of order n in 2.E_7(C).at n=21A045515
- Indices of spheres mentioned in A071609.at n=46A076180
- a(n) = sigma_3(n) - sigma_1(n).at n=17A092348
- Number of different groupings among the hierarchical orderings of n unlabeled elements.at n=8A104500
- Inverse Moebius transform of Fibonacci numbers 0, 1, 1, 2, 3, 5, 8, ...at n=20A108046
- Numbers n such that n^24 + 1 = p*q with p,q distinct primes.at n=13A119982
- Expansion of e.g.f.: exp( 2*(exp(x)-1)/(2-exp(x)) ).at n=5A123881
- Numbers k for which 14*k+1, 14*k+5, 14*k+11 and 14*k+13 are primes.at n=25A123987
- Number of symmetric n X n binary matrices with rows, considered as binary numbers, in strictly increasing order.at n=4A141051
- a(n) = A161330(n)*3.at n=45A161333
- Number of n X n symmetric binary arrays with rows, considered as binary numbers, in strictly increasing order, and no more than 6 ones in any row.at n=5A162096
- Number of n X n symmetric binary arrays with rows, considered as binary numbers, in strictly increasing order, and no more than 7 ones in any row.at n=5A162097
- Number of n X n symmetric binary arrays with rows, considered as binary numbers, in strictly increasing order, and no more than 8 ones in any row.at n=5A162098
- Number of n X n symmetric binary arrays with rows, considered as binary numbers, in strictly increasing order, and no more than 9 ones in any row.at n=5A162099