8651
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 8904
- Proper Divisor Sum (Aliquot Sum)
- 253
- 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
- 8400
- Möbius Function
- 1
- Radical
- 8651
- 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
- 52
- 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(0) = 1, a(n) = 9*n^2 + 2 for n>0.at n=31A010002
- Expansion of 1/(1-x^3-x^4-x^5).at n=37A017818
- Strong pseudoprimes to base 23.at n=12A020249
- 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=0A031591
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 93.at n=0A031771
- Number of partitions of n into parts not of the form 25k, 25k+11 or 25k-11. Also number of partitions with at most 10 parts of size 1 and differences between parts at distance 11 are greater than 1.at n=32A036010
- Denominators of convergents to the diesis log_2(5/4).at n=7A046104
- Triangle T(n,k) of numbers of minimal 5-covers of an unlabeled n+5-set that cover k points of that set uniquely (k=5,..,n+5).at n=21A057968
- Number of compositions (ordered partitions) of n into 1's, 2's and 4's.at n=17A060945
- A list of equal temperaments (equal divisions of the octave) whose nearest scale steps are closer and closer approximations to the pair of ratios 5/4 and 8/5 which generate two complementary tones of musical harmony, the Major 3rd (5/4) and the Minor 6th (8/5).at n=17A061918
- a(n) = (2*n-1)*(n^2 -n +2)/2.at n=20A063488
- Number of different candle trees having a total of m edges.at n=8A097472
- Numbers n such that googol - n is prime.at n=29A108251
- Right diagonal of triangle in A110339.at n=40A110341
- Semiprimes (A001358) whose digit reversal is a powerful(1) number (A001694).at n=28A115688
- Duplicate of A046104.at n=7A116984
- a(1) = 335; a(n) is the smallest k > a(n-1) such that k*A002110(n)^30 - 1 is prime.at n=37A119760
- Where records occur in A134204.at n=52A133245
- Numbers such that the digital sums in bases 3, 4, 5 and 6 all are equal.at n=17A135126
- Number of binary strings of length n with no substrings equal to 0001, 0100, or 1011.at n=23A164466