8101
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 8102
- 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
- 8100
- Möbius Function
- -1
- Radical
- 8101
- 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
- 1019
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes of the form k^2 + 1.at n=17A002496
- Numbers that are the sum of 11 positive 8th powers.at n=18A003389
- Numbers k >= 2 such that if 1 <= j < k then fractional part of log k > fractional part of log j.at n=8A004791
- a(n) = 2^n - n*(n+1)/2.at n=13A014833
- a(n) = s(n+3)/4, where s is A024949.at n=12A024950
- Partially directed animals on the square lattice.at n=9A033565
- Prime closest to e^n.at n=9A037028
- Largest prime < e^n.at n=8A040016
- a(n) = A033001(n)/4.at n=42A043307
- Primes with first digit 8.at n=28A045714
- Differences between numbers k such that k and k+1 have the same sum of divisors.at n=17A054001
- Totient(n) and cototient(n) are squares.at n=34A054754
- Odd powers of primes of the form q = x^2 + 1 (A002496).at n=25A054755
- Fourth term of weak 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=19A054826
- Numbers whose divisors have the form m^k + 1, k>1.at n=19A054964
- Primes p whose period of reciprocal equals (p-1)/5.at n=18A056210
- Let prime(i) = i-th prime, let twin(n) = (P,Q) be n-th pair of twin primes; sequence gives prime(P).at n=35A057470
- Primes having only {0, 1, 8} as digits.at n=10A061247
- Primes p such that the greatest prime divisor of p-1 is 5.at n=29A061599
- Primes of form 100*k + 1.at n=25A062800