6746
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 10122
- Proper Divisor Sum (Aliquot Sum)
- 3376
- 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
- 3372
- Möbius Function
- 1
- Radical
- 6746
- 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
- 44
- 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
- yes
- Odd
- no
Appears in sequences
- Apply partial sum operator twice to Fibonacci numbers.at n=16A001924
- Aliquot sequence starting at 180.at n=28A008891
- Numbers k such that the continued fraction for sqrt(k) has period 43.at n=16A020382
- s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (natural numbers), t = A001950 (upper Wythoff sequence).at n=29A024864
- a(0)=1, a(n) = Fibonacci(2n+4) - (2n+3).at n=8A027953
- a(n) = Sum_{k=0..2*n-2} T(n, k)*T(n, k+2), T given by A027960.at n=4A027986
- a(n) = floor(exp(7/24)*n!).at n=6A030804
- "EFK" (unordered, size, unlabeled) transform of 2,1,1,1,...at n=52A032303
- Expansion of Sum_{n>=0} (q^n / Product_{k=1..n+4} (1 - q^k)).at n=27A035300
- Number of ternary rooted trees with n nodes and height exactly 9.at n=15A036424
- Schoenheim bound L_1(n,n-4,n-5).at n=25A036830
- Numbers whose base-4 representation contains exactly three 1's and four 2's.at n=9A045104
- Solution to the Dancing School Problem with 15 girls and n+15 boys: f(15,n).at n=2A079920
- Solution to the Dancing School Problem with n girls and n+2 boys: f(n,2).at n=14A079921
- Partial sums of A080182.at n=15A080183
- Diagonal of triangular spiral in A051682.at n=38A081268
- a(n) = floor(9^n/5^n).at n=15A094986
- Largest number k for which the n-th prime is the median of the largest prime dividing the first k integers.at n=35A126283
- a(n) = a(n-1) + Sum_{k=0..floor(log_2(n-1))} a(2^k), a(1) = 1.at n=25A133147
- Numbers k such that k, k^2 - 5, and k^2 + 5 are semiprime.at n=31A173085