8455
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
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 10800
- Proper Divisor Sum (Aliquot Sum)
- 2345
- 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
- 6336
- Möbius Function
- -1
- Radical
- 8455
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 202
- 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
- a(n) = (8*n+1)*(8*n+7).at n=11A001533
- Coefficient of x^4 in expansion of (1+x+x^2)^n.at n=18A005712
- Numbers n such that phi(n + 1) | sigma(n) for n congruent to 1 (mod 3).at n=26A015817
- Sums of six consecutive squares: a(n) = n^2 + (n+1)^2 + (n+2)^2 + (n+3)^2 + (n+4)^2 + (n+5)^2.at n=35A027865
- Distinct odd elements in 3-Pascal triangle A028262 (by row).at n=49A028268
- Expansion of e.g.f.: sqrt(exp(5*x)/(2-exp(x))).at n=6A054912
- Numbers k such that k and its reversal are both multiples of 19.at n=26A062907
- Non-palindromic number and its reversal are both multiples of 19.at n=17A062916
- Partial sums of A084263.at n=36A084570
- a(n) is the largest number such that all of a(n)'s length-n substrings are distinct and divisible by 65.at n=2A093265
- Take pairs (a, b), sorted on a, such that T(a)+T(b)=concatenation of a and b, where T(k) is the k-th triangular number A000217(k). Sequence gives values of a.at n=18A096031
- a(1)=1, a(n)=a(n-1)+n^0 if n odd, a(n)=a(n-1)+ n^2 if n is even.at n=36A135301
- Second bisection of A061039.at n=44A144450
- a(n) = A134955(n) - A134955(n-2).at n=10A144977
- a(n) = 33*2^(n+1) + 7.at n=7A196655
- Number of free poly-IH15-tiles (polydrops) (holes allowed) with n cells.at n=7A197960
- Number of n X 6 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 0 1 and 1 0 1 vertically.at n=4A207167
- T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 0 1 and 1 0 1 vertically.at n=49A207169
- Number of 5 X n 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 0 1 and 1 0 1 vertically.at n=5A207173
- Number of 4-bead necklaces labeled with numbers -n..n not allowing reversal, with sum zero.at n=17A208598