7342
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 11016
- Proper Divisor Sum (Aliquot Sum)
- 3674
- 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
- 3670
- Möbius Function
- 1
- Radical
- 7342
- 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
- 132
- 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
- Number of stacks, or arrangements of n pennies in contiguous rows, each touching 2 in row below.at n=29A001524
- Numbers k such that the continued fraction for sqrt(k) has period 96.at n=12A020435
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = (odd natural numbers), t = A000201 (lower Wythoff sequence).at n=29A024599
- Numbers whose least quadratic nonresidue (A020649) is 13.at n=19A025025
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (odd natural numbers), t = A000201 (lower Wythoff sequence).at n=28A025113
- a(n) = Sum_{i=0..n} Sum_{j=0..n} T(i,j), T given by A026758.at n=11A026767
- 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 84.at n=23A031582
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 40 ones.at n=37A031808
- Number of partitions satisfying cn(1,5) + cn(4,5) < cn(2,5) + cn(3,5).at n=36A039892
- Numbers whose base-5 representation contains exactly two 2's and three 3's.at n=27A045273
- a(0)=1, a(n) = a(n-1) - Sum_{k=2..n} mu(k) * a(n-k), where mu(k) is the Moebius function of k.at n=15A072810
- Let a(n) = the number of permutations (p(1),p(2),p(3)...,p(n)) of (1,2,3,...,n) where, if each (m,p(m)) is plotted on a graph, then the entire set P of the n of these plotted points would be on the perimeter of the convex hull of P.at n=10A156831
- A triangle with Pell numbers in the first column.at n=59A164981
- Number of nX2 1..4 arrays containing at least one of each value, all equal values connected, and rows considered as a single number in nondecreasing order.at n=6A166777
- Number of 10's in the last section of the set of partitions of n.at n=49A206560
- Equals two maps: number of nX2 binary arrays indicating the locations of corresponding elements equal to exactly two of their king-move neighbors in a random 0..1 nX2 array.at n=10A220243
- Number of (n+1)X(2+1) 0..2 arrays with nondecreasing x(i,j)+x(i,j-1) in the i direction and nondecreasing min(x(i,j),x(i-1,j)) in the j direction.at n=3A250626
- T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with nondecreasing x(i,j)+x(i,j-1) in the i direction and nondecreasing min(x(i,j),x(i-1,j)) in the j direction.at n=13A250632
- Number of (4+1)X(n+1) 0..2 arrays with nondecreasing x(i,j)+x(i,j-1) in the i direction and nondecreasing min(x(i,j),x(i-1,j)) in the j direction.at n=1A250636
- Expansion of Product_{k>=0} (1 + x^(3*k+1))/(1 - x^(3*k+1)).at n=50A261610