8437
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 10080
- Proper Divisor Sum (Aliquot Sum)
- 1643
- 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
- 6960
- Möbius Function
- -1
- Radical
- 8437
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 3
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
- 83
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- Centered 12-gonal numbers, or centered dodecagonal numbers: numbers of the form 6*k*(k-1) + 1.at n=37A003154
- a(n) = n*(25*n - 1)/2.at n=26A022282
- Least m such that if r and s in {1/3, 1/6, 1/9, ..., 1/3n} satisfy r < s, then r < k/m < (k+1)/m < s for some integer k.at n=40A024838
- Numbers k such that 203*2^k + 1 is prime.at n=17A032478
- a(n) = n*(n^2 - 6*n + 11)/6.at n=39A050407
- Partial sums of A002419.at n=10A051843
- Numerators of expansion of a function eta(x) related to Cremer points.at n=19A058969
- Non-balanced numbers in A015765.at n=37A074868
- Number of branches in all ordered trees with n edges.at n=7A076540
- Denominator of (prime(n)+1)*(prime(n+1)+1)/(4*(prime(n)*prime(n+1)+1)).at n=47A079082
- Number of simple loops with n elements: loops with no real substructure, every subset which is closed under the operation is either {E} or the whole set.at n=6A088600
- Higher dimensional figurate numbers based on 12-gonal numbers A051624.at n=5A093646
- a(n) is the area of the triangle with sides prime(n), prime(n+2) and prime(n+4), rounded down to the nearest integer.at n=28A096384
- Tenth column (m=9) of (1,6)-Pascal triangle A096956.at n=5A097300
- Sequence obtained using characteristic polynomial that is Laplace transform of the tribonacci characteristic polynomial: -s^4*L(t^3 -t^2 -t -1) = s^3 +s^2 +2*s -6.at n=17A107785
- Nonnegative values x of solutions (x, y) to the Diophantine equation x^2+(x+47)^2 = y^2.at n=10A118675
- Odd interprimes divisible by 13.at n=35A124619
- Moessner triangle based on A000217.at n=17A125777
- Odd interprimes divisible by 11.at n=39A126230
- Number of distinct values taken by the entropy for permutations of [1..n], where the entropy of a permutation pi is Sum_{k=1..n} (pi(k)-k)^2.at n=37A126972