5835
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
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 9360
- Proper Divisor Sum (Aliquot Sum)
- 3525
- 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
- 3104
- Möbius Function
- -1
- Radical
- 5835
- 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
- 80
- 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
- Numbers k such that sigma(k) = sigma(k+6).at n=21A015866
- a(n) = n*(13*n - 1)/2.at n=30A022270
- Sum of the numbers between the two n's in A026362.at n=39A026365
- Numbers having period-1 7-digitized sequences.at n=34A031201
- 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 25.at n=24A031523
- Numbers whose set of base-8 digits is {1,3}.at n=43A032915
- Numbers having three 3's in base 8.at n=35A043435
- Nonnegative numbers of the form n^3 (+/-) 3, n >= 0.at n=35A052276
- Odd integers k such that 10^k - 1 - 10^((k-1)/2) is a prime of the form 9...989...9, called a palindromic wing prime or a near-repdigit palindromic prime.at n=4A077794
- a(n) = n^3 + 3.at n=18A084378
- This table shows the coefficients of combinatorial formulas needed for generating the sequential sums of p-th powers of binomial coefficients C(n,5). The p-th row (p>=1) contains a(i,p) for i=1 to 5*p-4, where a(i,p) satisfies Sum_{i=1..n} C(i+4,5)^p = 6 * C(n+5,6) * Sum_{i=1..5*p-4} a(i,p) * C(n-1,i-1)/(i+5).at n=11A087109
- Unicode codes for the lunation runes, used in certain medieval Scandinavian perpetual calendar staves as golden numbers 1-19.at n=10A098476
- Indices of primes in sequence defined by A(0) = 91, A(n) = 10*A(n-1) + 71 for n > 0.at n=9A101016
- a(n) = a(n-2) + A000265(a(n-1)), a(0)=0, a(1)=1.at n=29A114990
- Reverse binary expansion of the Fibonacci numbers.at n=19A143250
- Numbers of the form p*q*r, where p < q < r are odd primes such that r = +/-1 (mod p*q).at n=30A160353
- Sequence is obtained from Catalan numbers (A000108) by taking the factorial of each digit and adding them up.at n=14A165163
- Number of symmetry classes of 3 X 3 semimagic squares with distinct positive values and magic sum n.at n=37A173725
- Parameters n for which the elliptic curve y^2=x^3-n has rank 4.at n=5A179137
- Successive records in maximal positive distance d = x^3 - y^2.at n=34A198831