7343
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 8400
- Proper Divisor Sum (Aliquot Sum)
- 1057
- 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
- 6288
- Möbius Function
- 1
- Radical
- 7343
- 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
- 70
- 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
- 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 85.at n=11A031583
- Numbers having four 5's in base 6.at n=8A043392
- Number of Dyck paths of semilength n with no peak at height 4.at n=10A059027
- Sum of distinct orders of degree-n even permutations.at n=22A060180
- a(n) is the concatenation of n with n^3.at n=6A061086
- Let b(1) = 1, b(k+1) = b(k) - k*trunc(k/b(k)+1), where trunc(x) = floor(x) if x>= 0, trunc(x) = ceiling(x) otherwise. Sequence a(n) gives the successive absolute values taken by b(k).at n=5A073720
- Numbers n such that n^2= (1/5)*(n+floor(sqrt(5)*n*floor(sqrt(5)*n))).at n=6A081097
- Largest achievable determinant of a 4 X 4 matrix whose elements are the 16 consecutive integers n-15,...,n.at n=0A097696
- Take a <= b such that f(a)+f(b)=concatenation of a and b, where f(k)=k(k+3)/2 (A000096). Sequence gives values of b.at n=31A099149
- Sum of primes p with n^2 < p < (n+1)^2.at n=27A108314
- Number of different strings of length n+6 obtained from "123...n" by iteratively duplicating any substring.at n=6A137739
- Number of different strings of length n obtained from "abcdefg" by iteratively duplicating any substring.at n=13A137747
- Number of unordered factorizations of n! into two distinct proper factors.at n=16A157672
- Number of nondecreasing integer sequences of length 5 with sum zero and sum of absolute values 2n.at n=40A158139
- Number of n X n binary matrices with at most two 1's in each row and column, other entries 0.at n=4A197458
- Number of (n+3)X(n+3) binary arrays with no more than two of any consecutive four bits set in any row or column.at n=0A202566
- Number of (n+3)X4 binary arrays with no more than two of any consecutive four bits set in any row or column.at n=0A202567
- T(n,k)=Number of (n+3)X(k+3) binary arrays with no more than two of any consecutive four bits set in any row or column.at n=0A202574
- Number of binary n X n matrices in which each row or column sum is at most n/2.at n=4A247158
- If, for some m, A098550(m-2) is a prime p and A098550(m) = 7p, add 7p to the sequence.at n=35A253054