8997
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 33
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 12000
- Proper Divisor Sum (Aliquot Sum)
- 3003
- 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
- 5996
- Möbius Function
- 1
- Radical
- 8997
- 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
- 47
- 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) = 2*a(n-1) + a(n-2) - a(n-3) for n >= 3, starting with a(0) = 1, a(1) = 3, and a(2) = 6.at n=11A006356
- Juxtapose pairs of primes (starting at 1).at n=12A007794
- a(n) = floor(n*(n-1)*(n-2)/24).at n=61A011842
- Numbers k such that the continued fraction for sqrt(k) has period 92.at n=17A020431
- 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 62.at n=38A031560
- Lucky numbers that are decimal concatenations of n with n + 8.at n=2A032658
- 3-wave sequence starting with 1, 1, 1.at n=24A038196
- Top line of 3-wave sequence A038196, also bisection of A006356.at n=6A038213
- Concatenate the n-th and (n+1)st prime.at n=23A045533
- Numbers n such that 289*2^n-1 is prime.at n=15A050903
- Expansion of (1-x)/(1-2*x-x^2+x^3).at n=12A077998
- Concatenations of pairs of primes that differ by 8.at n=8A104718
- Triangle read by rows: T(n,k) is the number of hill-free Dyck paths of semilength n and having k UUDD's, where U=(1,1) and D=(1,-1) (0<=k<=floor(n/2), n>=2). A hill in a Dyck path is a peak at level 1.at n=35A105640
- Expansion of x*(1-x)/(1-2*x-x^2+x^3).at n=13A106803
- Starting numbers for which the RATS sequence has eventual period 14.at n=20A114615
- Expansion of ( 1-x^3+x^4+x^5-x^8 ) / ( 1-2*x^3-x^6+x^9 ).at n=36A120771
- Expansion of ( 1-x^3+x^4+x^5-x^8 ) / ( 1-2*x^3-x^6+x^9 ).at n=41A120771
- Numbers with rounded up arithmetic mean of digits = 9.at n=26A178369
- Ascending sequence of numbers such that the sum of any two distinct elements (even + odd) is a prime number.at n=27A180743
- Numbers k such that log(A156668(k)*(1 + k mod 2))/k^2 is smaller than for any prior k.at n=23A186082