8459
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 26
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 9240
- Proper Divisor Sum (Aliquot Sum)
- 781
- 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
- 7680
- Möbius Function
- 1
- Radical
- 8459
- 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
- 83
- 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
- a(n) = dot_product(n,n-1,...2,1)*(5,6,...,n,1,2,3,4).at n=28A026060
- Numbers k such that k*(k+4) is a palindrome.at n=16A028555
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 91.at n=15A031589
- Numbers whose set of base-7 digits is {3,4}.at n=36A032831
- Record entries in A065191.at n=44A065192
- Difference between number of composites > and <= mean (=A092802(n)) below 10^n.at n=6A092854
- a(n) is the smallest number greater than a(n-1) such that in a(0) through a(n) no digit occurs more than once more than any other digit.at n=29A095204
- a(1) = 3, a(n) = least k such that concatenation of n copies of k with all previous concatenation gives a prime.at n=47A111473
- Integers of the form 4n+3 for which Sum_{i=1..u} J(i,4n+3) obtains value zero exactly 7 times, when u ranges from 1 to (4n+3). Here J(i,k) is the Jacobi symbol.at n=9A166057
- Number of nX3 1..2 arrays containing at least one of each value, all equal values connected, and rows considered as a single number in nondecreasing order.at n=19A166781
- Numbers that can be written in more than 1 way as p^2 + 3pq + q^2 with primes p < q.at n=7A218795
- Number of partitions p of n such that median(p) > mean(p).at n=45A240220
- a(n) is the smallest number greater than a(n-1) such that in a(1) through a(n) no digit occurs more than once more than any other digit, starting with a(1) = 1.at n=29A248651
- G.f.: 1/((1-t^9)^2*(1-t)*(1-t^3)*(1-t^5)*(1-t^7)*(1-t^11)*(1-t^13)*(1-t^15)*(1-t^17)).at n=58A266749
- Numbers n such that 11^n is the highest power of 11 dividing A240751(n).at n=38A286006
- Number of series-reduced locally stable rooted identity trees whose leaves form an integer partition of n.at n=12A316766
- Discriminants of imaginary quadratic fields with class number 42 (negated).at n=28A351680
- Numbers k such that k and k+1 are both lazy-Pell-Niven numbers (A352342).at n=39A352343
- Number of integer partitions of n such that, for all parts x, x - 1 or x + 1 is also a part.at n=45A355394
- Fixed points in A376198.at n=46A376201