8238
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
- 5
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 16488
- Proper Divisor Sum (Aliquot Sum)
- 8250
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 2744
- Möbius Function
- -1
- Radical
- 8238
- 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
- 39
- 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
- Numbers whose base-4 representation contains exactly three 0's and three 2's.at n=34A045055
- Numbers k such that 273*2^k + 1 is prime.at n=36A053353
- Integers n > 7059 such that the 'Reverse and Add!' trajectory of n joins the trajectory of 7059.at n=12A063058
- Numbers that are the least element of a k-cycle (k > 1) of permutation A113821.at n=14A115641
- Row sums of triangle A129503.at n=31A129504
- Number of nondecreasing arrangements of n+2 numbers in 0..6 with each number being the sum mod 7 of two others.at n=8A183909
- Number of nX3 0..3 arrays with every row and column running average nondecreasing rightwards and downwards but some diagonal running average having a decrease.at n=4A202163
- Number of nX5 0..3 arrays with every row and column running average nondecreasing rightwards and downwards but some diagonal running average having a decrease.at n=2A202165
- T(n,k)=Number of nXk 0..3 arrays with every row and column running average nondecreasing rightwards and downwards but some diagonal running average having a decrease.at n=23A202168
- T(n,k)=Number of nXk 0..3 arrays with every row and column running average nondecreasing rightwards and downwards but some diagonal running average having a decrease.at n=25A202168
- Number of (n+1)X(1+1) 0..3 arrays with the maximum plus the lower median minus the upper median of every 2X2 subblock equal.at n=2A237219
- Number of (n+1)X(3+1) 0..3 arrays with the maximum plus the lower median minus the upper median of every 2X2 subblock equal.at n=0A237221
- T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the maximum plus the lower median minus the upper median of every 2X2 subblock equal.at n=3A237225
- T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the maximum plus the lower median minus the upper median of every 2X2 subblock equal.at n=5A237225
- Start of a triple of consecutive squarefree numbers each of which has exactly 3 distinct prime factors.at n=51A242606
- Number of nonnegative integers with property that their base 6/5 expansion (see A024638) has n digits.at n=43A245399
- Numbers k such that (4*10^k - 79)/3 is prime.at n=18A289752
- Number of symmetrically unique Dyck paths of semilength n and height seven.at n=5A291891
- Expansion of 1 / (1 + Sum_{k>=1} mu(k) * log(1 - 2 * x^k) / k), where mu = A008683.at n=9A329275
- Number of compositions (ordered partitions) of n into distinct prime parts (counting 1 as a prime).at n=46A331926