8237
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
- 4
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 8238
- Proper Divisor Sum (Aliquot Sum)
- 1
- 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
- 8236
- Möbius Function
- -1
- Radical
- 8237
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1034
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers k such that the continued fraction for sqrt(k) has period 51.at n=11A020390
- a(n+1) = [ A*a(n)+B ]/p^r, where p^r is the highest power of p diving [ A*a(n)+B ] and p=2, A=2.00013, B=3.0.at n=35A029580
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted then there are a pair of central terms both equal to 6.at n=28A031419
- Numerators of continued fraction convergents to sqrt(818).at n=6A042578
- Primes with first digit 8.at n=43A045714
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 19.at n=25A050968
- Third term of weak prime quintets: p(m-1)-p(m-2) < p(m)-p(m-1) < p(m+1)-p(m) < p(m+2)-p(m+1).at n=21A054825
- Primes q of form q=10p+7, where p is also prime.at n=37A055783
- Primes p such that x^29 = 2 has no solution mod p.at n=33A059256
- Primes containing 2k digits in which the sum of the first k digits is that of the last k digits.at n=48A068896
- Prime(n) and prime(n+4) use the same digits.at n=8A069796
- Final terms of groups in A075639.at n=44A075642
- Primes p such that sum of even digits of p equals sum of odd digits of p.at n=40A076167
- a(n) = prime(n*(n+1)/2 + n).at n=43A078723
- a(n) = 10*n^2 - 6*n + 1.at n=28A087348
- Primes of the form 6*p - 1 such that p and 6*p - 5 are primes.at n=34A090609
- Number of planar partitions of n with exactly 5 rows.at n=14A091359
- Let p = prime(sigma(n)) and q = prime(phi(n)), then p is in the sequence if p-q = 6.at n=16A103176
- Primes from merging of 4 successive digits in decimal expansion of exp(Pi).at n=30A105009
- Binary power sequence: a(n) = a(n-1) + 2^a(n-2).at n=6A113606