8167
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 8168
- 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
- 8166
- Möbius Function
- -1
- Radical
- 8167
- 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
- 158
- 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
- 1025
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of ways of transforming a set of n indistinguishable objects into n singletons via a sequence of n-1 refinements.at n=10A002846
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite BEA = Beta Na7[Al7Si57O128] starting with a T2 atom.at n=12A019068
- 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 89.at n=24A031587
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 56 ones.at n=10A031824
- Recursive prime generating sequence.at n=42A039726
- Primes with first digit 8.at n=34A045714
- a(n) = prime(2^n + 1).at n=10A051439
- Numbers k such that k^2 contains only digits {6,8,9}.at n=5A053974
- Prime number spiral (clockwise, Southeast spoke).at n=16A054564
- Fourth term of strong prime quintets: p(m-2)-p(m-3) > p(m-1)-p(m-2) > p(m)-p(m-1) > p(m+1)-p(m).at n=23A054811
- First term of weak prime quintets: p(m+1)-p(m) < p(m+2)-p(m+1) < p(m+3)-p(m+2) < p(m+4)-p(m+3).at n=20A054823
- Numbers which have more different digits than their squares.at n=41A061277
- Heights of peaks of more than 8000 meters (as of Sep 25 2001), in decreasing order.at n=6A064296
- Smallest number whose square has sum of digits A056991(n).at n=26A067179
- Square roots of A068809.at n=19A068947
- Primes in A068947.at n=11A068948
- a(0)=1; for n>0, a(n) = smallest prime of the form k*a(n-1)-1 with k>1.at n=8A072532
- Primes p such that p divides the (right) concatenation of all numbers from 1 to p written in base 10 (most significant digit on left).at n=3A072712
- Class 6+ primes.at n=4A081634
- Primes p such that 6p + 1 and (p-1)/6 are primes.at n=17A085957