11701
domain: N
Properties
Digital Properties
- Digit Count
- 5
- 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
- 11702
- 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
- 11700
- Möbius Function
- -1
- Radical
- 11701
- 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
- 143
- 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
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1405
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes p such that the multiplicative order of 2 modulo p is (p-1)/5.at n=29A001135
- Primes that remain prime through 3 iterations of function f(x) = 3x + 8.at n=12A023279
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 72 ones.at n=11A031840
- Primes of form 100*k + 1.at n=33A062800
- Numbers p from A001125 such that 2*p-3 is prime.at n=17A063939
- Centered 15-gonal numbers: a(n) = (15*n^2 - 15*n + 2)/2.at n=39A069128
- Primes p such that x^5 = 2 has a solution mod p, but x^(5^2) = 2 has no solution mod p.at n=7A070182
- a(n) = prime(2*n*(n+1)+1).at n=26A078746
- Numbers n such that n, n+1 and n+2 are 1,2,3-almost primes.at n=41A112998
- Number of permutations of length n which avoid the patterns 1234, 2143, 3421.at n=20A116842
- Primes which are the sum of a twin prime pair + 1.at n=36A118071
- Prime numbers p such that p +- ((p-1)/2) are primes.at n=27A137702
- Primes of the form x^2 + 1365*y^2.at n=27A139667
- Primes congruent to 9 mod 37.at n=39A142118
- Primes congruent to 16 mod 41.at n=31A142213
- Primes congruent to 5 mod 43.at n=33A142254
- Primes congruent to 45 mod 47.at n=32A142396
- Primes congruent to 39 mod 49.at n=34A142447
- Primes congruent to 41 mod 53.at n=27A142571
- Primes congruent to 41 mod 55.at n=38A142630