6747
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
- 9744
- Proper Divisor Sum (Aliquot Sum)
- 2997
- 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
- 4128
- Möbius Function
- -1
- Radical
- 6747
- 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
- 181
- 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
- no
- Odd
- yes
Appears in sequences
- A nonlinear binomial sum.at n=16A000126
- Number of partitions of n into its divisors that are powers of primes (A000961) with at least one part of size 1.at n=59A014650
- Decimal part of n-th root of a(n) starts with digit 8.at n=13A034085
- Number of partitions of n with equal nonzero number of parts congruent to each of 0 and 3 (mod 5).at n=42A035564
- Number of primes between n*100000 and (n+1)*100000.at n=28A038825
- Let R(i,j) be the rectangle with antidiagonals 1; 2,3; 4,5,6; ...; each k is an R(i(k),j(k)) and A057043(n)=i(L(n)), where L(n) is the n-th Lucas number.at n=36A057043
- Write 0,1,2,3,4,... in a triangular spiral; then a(n) is the sequence found by reading the terms along the line from 0 in the direction 0,2,...at n=39A062708
- Numbers n such that phi(3n+1) = sigma(n).at n=43A067233
- Numbers k such that sigma(k) = phi(k*bigomega(k)+1).at n=35A067876
- Numbers k such that sigma(k) = phi(k*omega(k)+1).at n=35A067879
- Sum of next n composite numbers.at n=21A072475
- Product of a prime number p and the number of primes smaller than p.at n=39A117495
- Least number k>1 such that k+10^n is a symmetric prime with symmetric digits (i.e. such that k+10^n is in A007500).at n=42A122490
- Bisection of toothpick sequence A139250.at n=58A159791
- Distance of the least reversible n-digit prime from 10^(n-1).at n=43A168159
- Number of (w,x,y,z) with all terms in {1,...,n} and w+x=3y+3z.at n=40A212566
- Number of (w,x,y) with all terms in {0,...,n} and w<=x+y and x<=y.at n=24A212983
- a(n) = (n + 1)*(20*n^2 + 19*n + 6)/6.at n=12A220084
- Difference between 10^n and the first prime of gap 4 > 10^n.at n=32A227432
- The average of prime factors of n and n+1 is the same.at n=4A227755