7397
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 26
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 7980
- Proper Divisor Sum (Aliquot Sum)
- 583
- 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
- 6816
- Möbius Function
- 1
- Radical
- 7397
- 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
- yes
- 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
- a(n) = smallest number k such that Product_{i=2..k+1} prime(i)/(prime(i)-1) > n.at n=10A005580
- a(n) = floor( n*(n-1)*(n-2)/19 ).at n=53A011901
- Pseudoprimes to base 86.at n=34A020214
- Strong pseudoprimes to base 86.at n=4A020312
- Numerators of continued fraction convergents to sqrt(822).at n=5A042586
- a(n) = 4*prime(n)^2+1.at n=13A060429
- Number of isomorphism classes of associative closed binary operations (semigroups) on a set of order n, listed by class size.at n=60A079175
- Number of ways angles from Pi/n to (n-1)Pi/n can tile around a vertex, where rotations and reflections of an angle sequence are not counted.at n=7A098912
- Structured heptagonal anti-diamond numbers (vertex structure 7).at n=12A100186
- Composite number of the form 4n^2+1.at n=26A121944
- Semiprimes of the form k^2+1.at n=39A144255
- Number of n X n binary arrays symmetric under horizontal reflection with all ones connected only in a 1000-1000-1111-0001 pattern in any orientation.at n=11A147270
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, 0, 1), (-1, 1, 1), (0, 1, -1), (1, -1, 0), (1, 1, 1)}.at n=7A149789
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, 0, 0), (0, -1, 1), (0, 0, 1), (0, 1, 1), (1, 0, -1)}.at n=7A150473
- a(n) = 81*n^2 - 72*n + 17.at n=10A154277
- a(n) = 9*n^2 - 6*n + 2.at n=28A185939
- Semiprimes which are one more than a perfect power.at n=45A189047
- Number of (w,x,y) with all terms in {0,...,n} and w<x+y and x<=y.at n=25A212982
- Numbers of the form n^2 + 1 without prime divisors of the form a^2 + 1.at n=7A217279
- Number of 3 X n 0..2 arrays with horizontal differences mod 3 never 1, vertical differences mod 3 never -1, and rows and columns lexicographically nondecreasing.at n=27A229446