8611
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 8800
- Proper Divisor Sum (Aliquot Sum)
- 189
- 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
- 8424
- Möbius Function
- 1
- Radical
- 8611
- 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
- 78
- 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
- Numbers that are the sum of 11 positive 8th powers.at n=20A003389
- Numbers k such that the continued fraction for sqrt(k) has period 96.at n=16A020435
- Expansion of 1/((1-x)^2(1-x^2)(1-x^3)(1-x^5)) in powers of x.at n=44A028291
- Arrange digits of squares in descending order.at n=41A028908
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 41 ones.at n=0A031809
- a(n)-th prime is the smallest prime containing exactly n 8's.at n=4A037068
- Denominators of continued fraction convergents to sqrt(211).at n=10A041393
- Denominators of continued fraction convergents to sqrt(844).at n=10A042629
- a(n) = A050314(2n+1,1): column 1 of triangle.at n=22A050316
- Centered 10-gonal numbers.at n=41A062786
- Heights of peaks of more than 8000 meters (as of Sep 25 2001), in decreasing order.at n=1A064296
- The minimal number which has multiplicative persistence 8 in base n.at n=14A064872
- Numbers k for which the sums of prime factors (ignoring multiplicity) of sigma(k) and phi(k) are equal but the sets of prime factors of sigma and phi are different.at n=31A081378
- Triangle read by rows: T(n,k) is the number of Motzkin paths of length n having trapezoid weight k.at n=53A104573
- Semiprimes that are semiprimes turned upside-down.at n=45A119738
- Number of base 17 n-digit numbers with adjacent digits differing by two or less.at n=5A126404
- a(n) = sum of n successive primes after the n-th prime.at n=34A131740
- Squarefree semiprimes k such that (m+1)^2-k is also a square, where m = ceiling(sqrt(k)).at n=41A180656
- The least number with exactly n ones in the continued fraction of its square root.at n=41A206578
- Values of n such that L(14) and N(14) are both prime, where L(k) = (n^2+n+1)*2^(2*k) + (2*n+1)*2^k + 1, N(k) = (n^2+n+1)*2^k + n.at n=27A227517