5022
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 20
- Divisor Sum
- 11616
- Proper Divisor Sum (Aliquot Sum)
- 6594
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 1620
- Möbius Function
- 0
- Radical
- 186
- Omega Function (Ω)
- 6
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 90
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- yes
- Odd
- no
Appears in sequences
- Number of partitions of n in which no parts are multiples of 3.at n=39A000726
- Coordination sequence T2 for Zeolite Code BIK.at n=42A008048
- Coordination sequence T2 for Scapolite.at n=45A008263
- a(n) = 2*(2^n-1)*3^(n-1).at n=5A060589
- Number of ternary squarefree necklaces.at n=31A066297
- Number of permutations that avoid the generalized pattern 12345-6.at n=7A071088
- Trajectory of 775 under the Reverse and Add! operation carried out in base 2, written in base 10.at n=3A077077
- a(n) = 3^n*(n^3 - 3*n^2 + 2*n + 162)/162.at n=7A081914
- Multiples of 9 in which there is no common digit in successive terms.at n=21A083497
- Numbers divisible by twice the sum of the products of each of their digits.at n=36A085444
- Numbers divisible by twice the sum of the products of each of their digits, excluding even multiples of 10.at n=14A085446
- a(0)=1; a(n) = sigma_2(n) + sigma_3(n).at n=16A092344
- Threefold convolution of A004148 (the RNA secondary structure numbers) with itself.at n=10A098075
- Triangle read by rows: T(n,k) is the number of peakless Motzkin paths in which the k-th step is the leftmost (1,0)-step (can be easily expressed using RNA secondary structure terminology).at n=58A098086
- Quintisection and binomial transform of 1/(1-x^4-x^5).at n=13A099131
- Numbers n such that 3*10^n + 2*R_n + 5 is prime, where R_n = 11...1 is the repunit (A002275) of length n.at n=2A102967
- Least positive k such that k * Z^n + 1 is prime, where Z = 10^100+267, the first prime greater than a googol.at n=19A108344
- Least n such that nextprime(p*n) > p*nextprime(n) where p runs through the prime numbers (if p is prime then nextprime(p)=p).at n=21A117102
- a(0)=1; thereafter a(n)=a(n-1)+a([n/Phi]), where Phi=(1+sqrt(5))/2, the golden ratio.at n=32A131882
- Numbers k such that k and k^2 use only the digits 0, 2, 4, 5 and 8.at n=31A136900