8667
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 27
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 10
- Divisor Sum
- 13068
- Proper Divisor Sum (Aliquot Sum)
- 4401
- 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
- 5724
- Möbius Function
- 0
- Radical
- 321
- Omega Function (Ω)
- 5
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 127
- 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
- no
- Odd
- yes
Appears in sequences
- Numbers k such that 10*3^k - 1 is prime.at n=39A005542
- Expansion of 1/(1-x^5-x^6-x^7-x^8-x^9).at n=46A017840
- Every suffix prime and no 0 digits in base 9 (written in base 9).at n=43A024784
- 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 93.at n=2A031591
- Numerators of continued fraction convergents to sqrt(180).at n=5A041332
- Numerators of continued fraction convergents to sqrt(720).at n=5A042386
- A convolution triangle of numbers obtained from A025748.at n=31A048966
- Numbers k such that k | 10^k + 9^k + 8^k.at n=13A057232
- a(n) = 3*n*(4*n-1).at n=27A062783
- Numbers k such that gcd(k, reverse(k)) = 27 = 3^3, where reverse(x) = A004086(x).at n=31A072016
- Sum of next n composite numbers.at n=23A072475
- Numbers k that divide A005554(k) (the sum of consecutive Motzkin numbers).at n=33A081741
- Antidiagonal sums of table A083050.at n=16A083053
- Numerator of I(n) = 2*(Integral_{x=0..1/2} (1+x^2)^n dx).at n=3A092145
- a(n) = 3*(2*n^2 + 1).at n=38A097803
- Numbers k such that N*2^k + 1 is prime where N = 9999999999999999999999988888888888888888887777777777777777766666666666665555555555544444443333322211.at n=16A098467
- a(n) = 4*a(n-1) -3*a(n-2) -2*a(n-3) +a(n-4), n>8.at n=12A108140
- a(1) = 1; for n>1, a(n) = least k such that concatenation of n copies of k with all previous concatenations gives a prime.at n=39A111471
- a(n) is equal to the number of positive integers m less than or equal to 10^n such that m is not divisible by at least one of the primes 2,7 and is not divisible by at least one of the primes 3,5.at n=2A128956
- a(n)=4n^4-3n^3+2n^2-n+1.at n=7A131465