7317
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
- 8
- Divisor Sum
- 10880
- Proper Divisor Sum (Aliquot Sum)
- 3563
- 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
- 4860
- Möbius Function
- 0
- Radical
- 813
- Omega Function (Ω)
- 4
- 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
- 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
- no
- Odd
- yes
Appears in sequences
- Number of partitions of n such that cn(0,5) = cn(1,5) = cn(2,5) < cn(3,5) = cn(4,5).at n=78A036853
- Numbers ending with '7' that are the difference of two positive cubes.at n=37A038862
- a(n) = (n+3)^3 - n^3.at n=26A038865
- Numbers whose base-5 representation contains exactly three 2's and two 3's.at n=30A045276
- Number of factorizations with 3 levels of parentheses indexed by prime signatures. A050340(A025487).at n=26A050341
- Inverse Moebius transform of A000013 (starting at term 0).at n=18A054168
- a(n) = 10*n^2+n.at n=26A055437
- Numbers k such that Euler phi(k) / Carmichael lambda(k) = 18.at n=37A066697
- Starting positions of strings of three 5's in the decimal expansion of Pi.at n=6A083620
- Divisors of 10^15 - 1.at n=25A111117
- Cascadence of (1+x)^3; a triangle, read by rows of 3n+1 terms, that retains its original form upon convolving each row with [1,3,3,1] and then letting excess terms spill over from each row into the initial positions of the next row such that only 3n+1 terms remain in row n for n>=0.at n=38A120919
- Nonnegative k such that 3*k + 1 is a perfect cube.at n=9A121628
- a(n) = floor(n^3/3).at n=28A131476
- A175366(n^2).at n=36A175367
- Number of (w,x,y) with all terms in {0,...,n} and 2*w < |x+y-w|.at n=27A213396
- Number of partitions p of n such that (number of even numbers in p) > 2*(number of odd numbers in p).at n=45A241645
- a(n) = 8n^2 - 12n + 1.at n=29A273220
- Expansion of Sum_{i>=1} x^(i*(i+1)/2)/(1 - x^(i*(i+1)/2)) / Product_{j>=1} (1 - x^(j*(j+1)/2)).at n=49A281615
- Number of irredundant sets in the n-gear graph.at n=5A290589
- Numbers k such that k divides sum of k-th twin prime pair.at n=27A335303