8646
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 19008
- Proper Divisor Sum (Aliquot Sum)
- 10362
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2600
- Möbius Function
- 1
- Radical
- 8646
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- yes
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- yes
- 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
- 34
- 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
- yes
- Odd
- no
Appears in sequences
- Numbers k such that k divides 2^k + 2.at n=5A006517
- a(n) = 2*n*(4*n - 1).at n=33A014635
- Numbers n such that phi(n) | sigma_6(n).at n=10A015764
- Numbers k such that k | 6^k + 6.at n=12A015892
- Numbers k such that k | 8^k + 8.at n=22A015897
- Pseudoprimes to base 91.at n=44A020219
- n written in fractional base 10/8.at n=36A024663
- Number of ways to partition n labeled elements into pie slices forming an aperiodic pattern.at n=6A032325
- Triangular numbers (A000217) with prime indices.at n=31A034953
- Even triangular numbers with prime indices.at n=16A034955
- Number of partitions satisfying (cn(0,5) <= cn(1,5) = cn(4,5) and cn(1,5) <= cn(2,5) and cn(1,5) <= cn(3,5)).at n=53A036819
- Numbers with exactly 4 distinct palindromic prime factors.at n=17A046402
- a(n) = C(n)*(C(n)-1)/2, where C(n) are the Catalan numbers (A000108).at n=6A051789
- Values of m, the main key or generating number for Pythagorean triangles in which S (the odd short leg) and U (the hypotenuse) are twin primes.at n=30A051891
- Digits composite, each digit minus 1 is prime, sum of digits minus 1 is prime, difference of digits (in absolute value) minus 1 is prime.at n=40A058229
- a(n) = n^4 - (n-1)^4 + (n-2)^4 - ... 0^4.at n=11A062392
- 3 times pentagonal numbers: 3*n*(3*n-1)/2.at n=44A062741
- Doubly hexagonal numbers.at n=6A063249
- Values of m such that N = (am+1)(bm+1)(cm+1) is a 3-Carmichael number (A087788), where a,b,c = 1,2,3.at n=42A064238
- Triangular numbers of the form 6*k.at n=43A069497