8829
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
- 3
Divisibility
- Divisor Count
- 10
- Divisor Sum
- 13310
- Proper Divisor Sum (Aliquot Sum)
- 4481
- 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
- 5832
- Möbius Function
- 0
- Radical
- 327
- 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
- 171
- 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
- a(n) = floor(n*(n-1)*(n-2)/9).at n=44A011891
- Numbers k that divide s(k), where s(1)=1, s(j)=7*s(j-1)+j.at n=39A014854
- Numbers k such that k divides s(k), where s(1)=1, s(j)= s(j-1) + j*7^(j-1).at n=21A014948
- Expansion of Product_{m>=1} (1 - m*q^m)^4.at n=20A022664
- Numerators of continued fraction convergents to sqrt(738).at n=2A042420
- Numbers k that divide 5^k + 4^k.at n=29A045590
- Numbers k that divide 10^k + 8^k.at n=47A045608
- Ordered factorizations with one level of parentheses indexed by prime signatures. A050354(A025487).at n=25A050355
- Scaled Chebyshev U-polynomials evaluated at i*3/2. Generalized Fibonacci sequence.at n=4A057092
- Numbers n such that n | 12^n + 11^n + 10^n + 9^n.at n=48A057239
- Write 1, 2, 3, 4, ... counterclockwise in a hexagonal spiral around 0 starting left down, then a(n) is the sequence found by reading from 0 in the vertical upward direction.at n=27A063436
- Least number k such that phi(k) / Carmichael lambda(k) = 2n.at n=26A066497
- Numbers k such that gcd(k, reverse(k)) = 27 = 3^3, where reverse(x) = A004086(x).at n=33A072016
- Least multiple of prime(n) ending in digits of n.at n=25A114012
- a(2*n+1) = 9*a(n), a(2*n+2) = 10*a(n) + a(n-1).at n=27A116555
- a(n) = least m such that sum of m reciprocal primes starting with n-th prime is >1.at n=17A137368
- Number of n X n binary arrays symmetric about main diagonal with all ones connected only in a 1000-1000-1111 pattern in any orientation.at n=10A146597
- Number of n X n binary arrays symmetric about the diagonal and under 90 degree rotation with all ones connected only in a 1000-1000-1111 pattern in any orientation.at n=22A146599
- Sum of all numbers from 2*n-1 up to prime(n).at n=34A161626
- a(n) = 109*n^2.at n=9A174339