8085
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 16416
- Proper Divisor Sum (Aliquot Sum)
- 8331
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 3360
- Möbius Function
- 0
- Radical
- 1155
- Omega Function (Ω)
- 5
- 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
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 65
- 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
- Odd abundant numbers (odd numbers m whose sum of divisors exceeds 2m).at n=16A005231
- Number of walks on square lattice.at n=10A005565
- Odd primitive abundant numbers.at n=12A006038
- Numbers k that divide s(k), where s(1)=1, s(j)=15*s(j-1)+j.at n=38A014865
- Lucas sequence U(5,-8): a(n+1) = 5*a(n) + 8*a(n-1), a(0)=0, a(1)=1.at n=6A015544
- Lucky numbers that are decimal concatenations of n with n + 5.at n=6A032655
- Odd composite numbers divisible by the sum of their prime factors (counted with multiplicity).at n=26A046347
- Odd numbers with only palindromic prime factors whose sum is palindromic (counted with multiplicity).at n=26A046356
- Composite numbers divisible by the palindromic sum of their prime factors (counted with multiplicity).at n=19A046358
- Odd numbers divisible by the palindromic sum of their prime factors (counted with multiplicity).at n=6A046359
- Composite numbers divisible by the palindromic sum of their palindromic prime factors (counted with multiplicity).at n=10A046366
- Odd numbers divisible by the palindromic sum of its palindromic prime factors (counted with multiplicity).at n=2A046367
- Odd numbers with exactly 5 palindromic prime factors (counted with multiplicity).at n=30A046375
- Expansion of (Product_{j>=1} (1-(-x)^j) - 1)^11 in powers of x.at n=12A047649
- Number of nonempty subsets of {1,2,...,n} in which exactly 5/6 of the elements are <= (n-4)/2.at n=25A048070
- Degrees of irreducible representations of alternating group A_14.at n=31A060717
- Numbers n such that n | p(n)*q(n), where p() is the unrestricted partition function (A000041) and q is the distinct partition function (A000009).at n=46A060744
- Second 11-gonal (or hendecagonal) numbers: a(n) = n*(9*n+7)/2.at n=42A062728
- Boundaries of primorial intervals [1,3]; [3,9],[9,15]; [15,45], etc.at n=14A065917
- a(n) = 7*n^2 + 14*n.at n=32A067727