8098
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 12150
- Proper Divisor Sum (Aliquot Sum)
- 4052
- 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
- 4048
- Möbius Function
- 1
- Radical
- 8098
- 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
- 65
- 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
- yes
- Odd
- no
Appears in sequences
- Numbers that are the sum of 8 nonzero 8th powers.at n=15A003386
- Ordered sequence of distinct terms of the form floor(exp(i) * floor(exp(j))), i,j >= 0.at n=42A022765
- 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 88.at n=24A031586
- Sum of partial sums of partition numbers (A026905) and partial sums of numbers of partitions into distinct parts (A026906).at n=23A056871
- Number of right triangles of a given area required to form successively larger squares.at n=44A060626
- Expansion of (1-x)/(1-x+2*x^2).at n=26A078020
- Expansion of (1 + x)/(1 + x + 2x^2).at n=26A110512
- a(n) = 2025*n^2 - n.at n=1A156855
- Least k such that log(ceiling(sqrt(k!))^2-k!)/k > n.at n=3A181908
- Total area of the bounding boxes of all integer partitions of n.at n=16A182094
- a(n) = a(n-1)+floor(a(n-2)/4) with a(0)=3, a(1)=4.at n=44A182230
- Number of n X 2 binary arrays with each 1 adjacent to exactly two 0's.at n=11A183330
- Second of two complementary trees generated by the squares; The other tree is A183420.at n=17A183421
- Triangle T(n,k) of numbers/2 of non-extendable (complete) non-self-adjacent simple paths within a square lattice bounded by rectangles with nodal dimensions n and k, n >= k >= 2.at n=17A213106
- Floor(M(g(n-1)+1,..,g(n))), where M = harmonic mean and g(n) = n(n + 1)(n + 2)/6.at n=35A227016
- a(n) is the smallest m such that m! > exp(n*m); or where the mean of the logs of the first m integers exceeds n.at n=8A245285
- a(n) = 9*n^2 + 18*n + 7.at n=29A259055
- Denominators of r-Egyptian fraction expansion for sqrt(1/2), where r = (1,1/2,1/3,1/4,...)at n=4A269993
- Expansion of Product_{k>0} (1 - x^k)^(k*3).at n=21A276552
- Coordination sequence for 3-D tiling (Cairo tiling) X Z, with respect to a 5-valent point.at n=45A321019