6174
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 15600
- Proper Divisor Sum (Aliquot Sum)
- 9426
- 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
- 1764
- Möbius Function
- 0
- Radical
- 42
- Omega Function (Ω)
- 6
- 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
- 111
- 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
- Numbers k such that k divides 2^(k+1) - 2.at n=27A014741
- Positive integers n such that n | (2^n + n/2 - 1).at n=25A015942
- Ordered sequence of distinct terms of the form floor(x^i * floor(x^j)), i,j >= 0, where x = sqrt(7).at n=26A022771
- Convolution of (F(2), F(3), F(4), ...) and A001950.at n=12A023654
- Theta series of A*_6 lattice.at n=52A023918
- Exactly half of first a(n) terms of A022300 are 1's (not known to be infinite).at n=40A025513
- a(n) = n^3 + n^2 + n.at n=18A027444
- Floor( 7*n^2/2 ).at n=42A032525
- Number of partitions satisfying (cn(2,5) = cn(3,5) = 0).at n=52A036820
- Numbers having four 4's in base 5.at n=29A043368
- a(n) = floor(a(n-1)/3) if this is positive and not yet in the sequence, otherwise a(n) = 7*a(n-1).at n=44A050092
- Iterated procedure 'composite k added to sum of its prime factors reaches a prime' yields 2 skipped primes.at n=39A050769
- Expansion of g.f. (1+x)*Product_{m>0} (1 + x^m).at n=49A052816
- n has distinct digits and n=a-b where a has the digits of n in descending order and b has the digits of n in ascending order (perhaps with leading zeros).at n=1A055157
- Numbers n with the property that n=a-b where a has the digits of n in descending order and b has the digits of n in ascending order (perhaps with leading zeros), ordered by a.at n=1A055160
- a(1) = 1, a(m+1) = Sum_{k=1..m} lcm(m, a(k)).at n=7A056147
- a(n) is smallest positive integer, distinct from any terms earlier in the sequence, such that (sum{k=1 to n}[a(k)]) divides (product{k=1 to n}[a(k)])*(sum{k=1 to n}[1/a(k)]).at n=10A058330
- a(n) = (1/6)*(2*n - 3)*(n + 2)*(n + 1).at n=28A058373
- Numbers which are the sum of their proper divisors containing the digit 0.at n=35A059461
- Unitary untouchable numbers: us(x) = n has no solution where us(x) (A063919) is the sum of the proper unitary divisors of x.at n=41A063948