6743
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 7368
- Proper Divisor Sum (Aliquot Sum)
- 625
- 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
- 6120
- Möbius Function
- 1
- Radical
- 6743
- 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
- 75
- 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
- no
- Odd
- yes
Appears in sequences
- a(n) = floor(n*phi^14), where phi is the golden ratio, A001622.at n=8A004929
- M-sequences from multicomplexes on at most 9 variables with no monomial of degree more than n-1.at n=3A011806
- M-sequences m_0,m_1,m_2,m_3 with m_1 < n.at n=9A011819
- a(n) = b(n) - c(n) where b(n) is the n-th Fibonacci number greater than 2 and c(n) is the n-th number not in sequence b( ).at n=16A014251
- a(n) = T(n,[ n/2 ]), where T is the array defined in A024996.at n=13A026078
- Base-6 palindromes that start with 5.at n=21A043014
- Numbers having three 2's in base 9.at n=32A043463
- Number of 4 X n (0,1)-matrices with no consecutive 1's in any row or column.at n=5A051737
- Semiprimes p1*p2 such that p2 > p1 and p2 mod p1 = 8.at n=38A064906
- Table T(n,k) of the number of n X k matrices on {0,1} without adjacent 0's in any row or column.at n=31A089934
- Table T(n,k) of the number of n X k matrices on {0,1} without adjacent 0's in any row or column.at n=32A089934
- Number of 5 X n matrices with entries {0,1} without adjacent 0's in any row or column. 5th row of A089934.at n=3A089936
- Array read by antidiagonals: T(n,m) = number of independent sets in the grid graph P_n X P_m.at n=49A089980
- Array read by antidiagonals: T(n,m) = number of independent sets in the grid graph P_n X P_m.at n=50A089980
- a(n) = ceiling((sqrt n)^(sqrt n)).at n=27A094093
- Number of partitions of n having no parts with multiplicity 3.at n=33A118807
- Numerator of Sum_{k=1..n} n^(k-1)/k!.at n=6A119029
- a(n) = 3*A146085(n) - 1.at n=35A146087
- Number of n X n binary arrays symmetric about main diagonal with all ones connected only in a 1000-1000-1111-0001 pattern in any orientation.at n=11A147271
- G.f. A(x) satisfies: A(x) = G(x*A(x)) where A(x/G(x)) = G(x) = g.f. of A006664, which is the number of irreducible systems of meanders.at n=6A168344