8234
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 12960
- Proper Divisor Sum (Aliquot Sum)
- 4726
- 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
- 3916
- Möbius Function
- -1
- Radical
- 8234
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 3
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
- 127
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- Coordination sequence for hexagonal close-packing.at n=28A007899
- Coordination sequence for alpha-Nd, Position Nd1.at n=28A009948
- a(0) = 1, a(n) = 42*n^2 + 2 for n>0.at n=14A010023
- Numbers k such that phi(k + 12) | sigma(k) for k not congruent to 0 (mod 3).at n=30A015850
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite MFI = ZSM-5 Nan[AlnSi96-nO192] starting with a T9 atom.at n=12A019168
- Number of ways to partition n elements into pie slices of different sizes allowing the pie to be turned over.at n=33A032228
- Expansion of (1 - x^2 - 2*x^3) / (1 - 2*x - 2*x^2 - 2*x^3 + x^4).at n=9A038989
- Numbers whose base-4 representation contains exactly three 0's and four 2's.at n=0A045056
- Numbers k such that phi(k) + phi(k+1) = k+2.at n=17A067797
- Number of partitions of n such that there is exactly one part which occurs twice, while all other parts occur only once.at n=50A090858
- 24*a(n) counts the solid partitions of n that have no symmetry under any single or combined operations built from mirroring (F), rotation (T) or 4-D rotation (L).at n=15A097507
- Sums of rows of the triangle in A116366.at n=35A116367
- First occurrence of n in A085068.at n=20A129377
- 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), (0, 1, 1), (1, -1, 1), (1, 1, 0)}.at n=7A150525
- Abs(square of n-th prime minus cube of n-1).at n=27A151911
- Number of n X n arrays of squares of integers with every 2X2 subblock summing to 26.at n=5A159226
- Numbers n such that n^2 contains no digit less than 5.at n=32A175471
- Wiener index of the n-sun graph.at n=44A180863
- Partial sums of the union of squares and triangular numbers.at n=48A193711
- Number of partitions of n not containing 3*(number of parts) as a part.at n=31A238491