8035
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 9648
- Proper Divisor Sum (Aliquot Sum)
- 1613
- 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
- 6424
- Möbius Function
- 1
- Radical
- 8035
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 26
- 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
- Number of days in n years (n=4 is the first leap year).at n=21A033171
- Number of days in n years (n=3 is the first leap year).at n=21A033172
- Denominators of continued fraction convergents to sqrt(355).at n=9A041673
- Heights of peaks of more than 8000 meters (as of Sep 25 2001), in decreasing order.at n=12A064296
- Number of partitions of n in which the number of parts divides n.at n=48A067538
- Numbers n such that sigma(sigma(n) - phi(n)) = phi(sigma(n) + phi(n)).at n=5A074876
- Starts with 2; has two properties: concatenation of its digits is same string as concatenation of digits of its first differences and sequence and first differences have no term in common. When there is a choice in choosing the next term in the first differences, choose the smallest number not yet present in either the sequence or its first differences.at n=40A139334
- a(n) = 196*n - 1.at n=40A158225
- a(n) = 5*n^2 + 11*n + 1.at n=39A172044
- Odd numbers producing 6 odd numbers in the Collatz iteration.at n=46A198589
- The hyper-Wiener index of the graph obtained by applying Mycielski's construction to the star graph K(1,n).at n=35A228319
- Composite squarefree numbers n such that p + tau(n) divides n - phi(n), where p are the prime factors of n, tau(n) = A000005(n) and phi(n) = A000010(n).at n=43A229324
- The 60-degree spoke (or ray) of a hexagonal spiral of Ulam.at n=26A244802
- Numbers n not divisible by 3 such that n^2 written in base 3 has no digit > 1.at n=37A257283
- a(n) = (2^p+1)^(p-1) modulo p^2, where p is prime(n).at n=26A260531
- Odd semiprimes that can be represented as 2p+3q, where p and q are primes, in an increasing number of ways.at n=50A280406
- Numbers k such that (62*10^k - 197)/9 is prime.at n=18A294379
- Number of nX5 0..1 arrays with every element equal to 0, 1, 2, 5 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.at n=6A301320
- Number of nX7 0..1 arrays with every element equal to 0, 1, 2, 5 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.at n=4A301322
- Numbers that are the sum of ten fourth powers in eight or more ways.at n=36A345601