10181
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 10182
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 10180
- Möbius Function
- -1
- Radical
- 10181
- 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
- 42
- 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
- 1251
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Powers of fifth root of 3 rounded down.at n=42A018120
- Powers of fifth root of 9 rounded down.at n=21A018138
- Numbers k such that the continued fraction for sqrt(k) has period 49.at n=14A020388
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (natural numbers), t = (composite numbers).at n=41A024860
- Primes such that in p^2 the parity of digits alternates.at n=43A030145
- Numbers k such that in k and k^2 the parity of digits alternates.at n=34A030153
- OR-convolution of squares A000290 with themselves.at n=24A033459
- Primes or negative values of primes in the sequence b(n) = 47*n^2 - 1701*n + 10181, n >= 0.at n=0A050267
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 13.at n=28A050962
- n consecutive primes differ by 12 or more starting at a(n).at n=3A054696
- 5 consecutive primes differ by 2n or more starting at a(n).at n=5A054699
- Primes having only {0, 1, 8} as digits.at n=13A061247
- Primes which can be expressed as concatenation of cubes.at n=22A066592
- Primes arising in A085042: a(n) = the n-th partial sum of A085042.at n=24A085043
- Primes which when added to their own rotation yield a prime.at n=30A086002
- Primes that are a sum of twin primes and their indices.at n=35A088187
- Primes p = prime(n) such that p + sum-of-digits(p) +- 1 = prime(n+1).at n=41A090180
- Primes of the form 6*p - 1 such that p and 6*p - 5 are primes.at n=38A090609
- Numbers p such that p = (prime(n)+ prime(n+3))/2 is prime for prime indices n=2, 3, 5...at n=15A098039
- Primes p such that the largest prime divisor of p^4+1 is less than p.at n=0A102326