5997
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 30
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 8000
- Proper Divisor Sum (Aliquot Sum)
- 2003
- 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
- 3996
- Möbius Function
- 1
- Radical
- 5997
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 49
- 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 n-node trees with a forbidden limb of length 4.at n=15A002990
- Numbers whose sum of divisors is a cube.at n=32A020477
- a(n) = a(1)*a(n-1) + a(2)*a(n-2) + ...+ a(n-1)*a(1) for n >= 3, with initial terms 1,3.at n=7A025229
- a(n) = a(1)*a(n-1) + a(2)*a(n-2) + ...+ a(n-2)*a(2) for n >= 3.at n=7A025239
- a(n) = (1/4 + 1/6 + ... + 1/c(n))*LCM{4, 6, ..., c(n)}, where c(n) = n-th composite number.at n=11A025545
- [ exp(4/23)*n! ].at n=6A030825
- 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 50.at n=37A031548
- Decimal part of a(n)^(1/4) starts with reversal of its integer part: first term of runs.at n=7A034310
- (s(n)+1)/9, where s(n)=n-th base 9 palindrome that starts with 8.at n=38A043079
- Numbers having three 5's in base 8.at n=31A043443
- Numbers whose base-5 representation contains exactly two 2's and three 4's.at n=16A045288
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 14.at n=31A050963
- a(0) = 1, a(1) = 1 and for n >= 2, a(n) = floor(4 * a(n-2) * a(n-1) / (a(n-2) + a(n-1))).at n=21A093335
- Molien series for group of order 4608 acting on joint weight enumerators of a pair of binary doubly-even self-dual codes.at n=34A097870
- Expansion of (x^2+1)*(x+1)^2 / ((x-1)*(x^2+x+1)*(x^2+2*x-1)).at n=9A109803
- Numbers k such that 10^(k-1) + pi(k) is the smallest k-digit prime.at n=4A110068
- Numbers k such that 2^k - prime(k)^2 is prime.at n=13A116999
- Lucky numbers for which the product of the digits is also a lucky number.at n=47A118556
- Start with 34 and repeatedly reverse the digits and add 16 to get the next term.at n=20A119454
- Iterates of A122227, starting from A122227(5)=18.at n=6A122234