8364
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 21168
- Proper Divisor Sum (Aliquot Sum)
- 12804
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2560
- Möbius Function
- 0
- Radical
- 4182
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 4
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
- 39
- 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
- yes
- Odd
- no
Appears in sequences
- a(n) = (n+1)*(n+3)*(n+8)/6.at n=34A000297
- a(n) = n*(29*n + 1)/2.at n=24A022287
- Numbers having period-2 6-digitized sequences.at n=28A031357
- Multiplicity of highest weight (or singular) vectors associated with character chi_46 of Monster module.at n=36A034434
- 1 / min{1/n - 1/a - 1/b > 0}, where a and b are integers.at n=11A045470
- Number of nonisomorphic circulant graphs, i.e., undirected Cayley graphs for the cyclic group of order n.at n=31A049287
- Iterated procedure 'composite k added to sum of its prime factors reaches a prime' yields 6 skipped primes.at n=39A050773
- A diagonal of A008296.at n=15A059302
- Integers n such that 10^n-59 is prime.at n=17A108506
- Erroneous version of A178674.at n=7A119626
- Nonnegative values x of solutions (x, y) to the Diophantine equation x^2+(x+359)^2 = y^2.at n=7A130610
- Alexandrian integers: numbers of the form n = p*q*r such that 1/n = 1/p - 1/q - 1/r for some integers p,q,r.at n=15A147811
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 0, -1), (-1, 1, 1), (1, -1, 0), (1, 1, 0)}.at n=8A149163
- Number of reduced words of length n in Coxeter group on 3 generators S_i with relations (S_i)^2 = (S_i S_j)^4 = I.at n=15A162920
- a(n) = 4*3^n - 3*2^n.at n=7A166060
- Number of reduced, normalized 3 X 3 semimagic squares with distinct nonnegative integer entries and maximum entry n.at n=44A173724
- G.f. satisfies: A(x) = Sum_{n>=0} x^n*A(x)^A001951(n), where A001951(n) = [n*sqrt(2)].at n=9A190270
- G.f. A(x) satisfies A(x) = 1 + x * A(x) / A(x^2).at n=42A218033
- Relative offsets from the middle point of each row of A233271 & A218616 to the first point where the former exceeds the latter, which apart of case a(3)=-1 is always left of or at the middle point.at n=22A233274
- Number of length 1+3 0..n arrays with some pair in every consecutive four terms totalling exactly n.at n=10A245951