5987
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 29
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 5988
- Proper Divisor Sum (Aliquot Sum)
- 1
- 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
- 5986
- Möbius Function
- -1
- Radical
- 5987
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 783
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Expansion of e.g.f.: tanh(exp(x) - cos(x)) = x + (2/2!)*x^2 - (1/3!)*x^3 - (24/4!)*x^4 - (123/5!)*x^5 + ...at n=7A013317
- Quadruples of different integers from [ 1,n ] with no common factors between triples.at n=22A015625
- The $620 prime list.at n=1A018188
- Numbers k such that the continued fraction for sqrt(k) has period 54.at n=35A020393
- Primes that remain prime through 3 iterations of function f(x) = 3x + 10.at n=34A023280
- Primes that remain prime through 4 iterations of function f(x) = 3x + 10.at n=9A023310
- Convolution of (1, p(1), p(2), ...) and composite numbers.at n=18A023627
- a(n) = (d(n)-r(n))/5, where d = A026049 and r is the periodic sequence with fundamental period (4,1,4,0,1).at n=40A026051
- Number of distinct products i*j*k with 1 <= i < j < k <= n.at n=47A027430
- 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 77.at n=2A031575
- Lower prime of a difference of 20 between consecutive primes.at n=7A031938
- Positive numbers having the same set of digits in base 6 and base 8.at n=37A037435
- (s(n)+1)/9, where s(n)=n-th base 9 palindrome that starts with 8.at n=37A043079
- Numbers whose base-5 representation contains exactly three 2's and two 4's.at n=18A045291
- Discriminants of imaginary quadratic fields with class number 15 (negated).at n=23A046012
- Primes of the form 4*k^2 + 4*k + 59.at n=33A048988
- Primes p such that x^41 = 2 has no solution mod p.at n=19A059236
- a(n) = a(n-1) + floor(a(n-2)/2) with a(0)=1, a(1)=2.at n=28A064324
- Rounded volume of a regular icosahedron with edge length n.at n=14A071402
- a(n) = prime(n*(n+1)/2+3).at n=39A078724