8255
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 10752
- Proper Divisor Sum (Aliquot Sum)
- 2497
- 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
- 6048
- Möbius Function
- -1
- Radical
- 8255
- 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
- 171
- 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) = prime(n)*(prime(n+1)-1)/2.at n=30A014303
- Geometric mean of phi(n) and sigma(n) is an integer, n odd.at n=21A015705
- a(n+1) = [ A*a(n)+B ]/p^r, where p^r is the highest power of p diving [ A*a(n)+B ] and p=2, A=2.00013, B=3.0.at n=44A029580
- a(n) = (2*n+1) * (4*n-1).at n=32A033566
- Numbers whose base-4 representation contains exactly three 0's and three 3's.at n=30A045079
- Number of reversible string structures with n beads using exactly two different colors.at n=14A056326
- McKay-Thompson series of class 22B for Monster.at n=50A058568
- McKay-Thompson series of class 44A for Monster.at n=50A058679
- Sum of n-th row of triangle of primes: 2; 2 3 2; 2 3 5 3 2; 2 3 5 7 5 3 2; ...; where n-th row contains 2n+1 terms.at n=45A061802
- a(1) = 1; a(n) = a(n-1) + sigma(a(n-1)) where sigma(k) = sum of the divisors of k.at n=12A081973
- a(n) = (prime(n)+1)*n - 1.at n=42A083723
- Numbers having in binary representation a leading 1 followed by n zeros and n-1 ones.at n=6A092431
- Lean quaternary temporal logic [LQTL] cumulative column frequencies of LQTL logic in A094266.at n=59A099423
- Numbers for which the sum of the digits is the square root of the product of their digits.at n=19A117720
- Irregular array where row n is the positive integers which divide the sum of all previous rows. a(1,1)=1.at n=37A119763
- Binomial transform of A079261.at n=14A143982
- a(n) is the smallest positive integer m with exactly n zeros and exactly n ones in its binary representation and with n represented in binary as a substring of the binary representation of m.at n=6A147762
- Weight distribution of [127,15,55] primitive binary BCH code.at n=64A151810
- Weight distribution of [127,15,55] primitive binary BCH code.at n=63A151810
- 5 times heptagonal numbers: a(n) = 5*n*(5*n-3)/2.at n=26A153785