6754
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 11088
- Proper Divisor Sum (Aliquot Sum)
- 4334
- 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
- 3060
- Möbius Function
- -1
- Radical
- 6754
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 36
- 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
- Expansion of 1 / ((1-x)^2*(1-x^2)*(1-x^3)*(1-x^4)).at n=39A002621
- Number of strict (-1)st-order maximal independent sets in path graph.at n=17A007382
- a(n) = n*(7*n - 1)/2.at n=44A022264
- a(n) = [ 2nd elementary symmetric function of {log(k)} ], k = 2,3,...,n.at n=39A025202
- Number of partitions of n that do not contain 2 as a part.at n=37A027336
- 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 82.at n=3A031580
- Numbers with exactly five distinct base-9 digits.at n=0A031986
- Numbers whose base-5 representation contains exactly three 0's and two 4's.at n=17A045216
- Number of partitions into at most a(1) copies of 1, a(2) copies of 2, ...at n=44A052337
- Sum_{i for which n - i*(i-1)/2 >= 0} binomial (n - i*(i-1)/2, i).at n=24A063978
- Group successively larger prime numbers so that the sum of the n-th group is a multiple of n. Sequence gives the group sum divided by n for the n-th group.at n=42A074131
- Numbers in increasing order such that successive sums are squares and successive differences are squarefree.at n=44A090956
- a(n) = (p-1)! mod p^2 where p = n-th prime.at n=43A112660
- F(4n) - 2n - 1 where F(n) = Fibonacci numbers. Also, the floor of the log base phi of sequence A090162 (phi = (1+Sqrt(5))/2).at n=4A114182
- a(n) = Fibonacci(2*n) - n - 1.at n=8A114185
- Number of partitions of n in which each even part has odd multiplicity.at n=34A130126
- Numbers k such that k and k^2 use only the digits 1, 4, 5, 6 and 7.at n=6A137046
- Difference between n-th Fibonacci number and floored n-th power of Viswanath's constant.at n=19A140443
- a(n) = n * A056219(n+1).at n=21A166869
- a(n) = Sum of all numbers of divisors of all numbers < (n+1)^2.at n=29A168011