10711
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
- 10712
- 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
- 10710
- Möbius Function
- -1
- Radical
- 10711
- 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
- 99
- 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
- 1306
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- a(n) = 2*a(n-1) + 9*a(n-2), with a(0)=a(1)=1.at n=7A002535
- Dying rabbits: a(n) = a(n-1) + a(n-2) - a(n-12).at n=21A023442
- Least m such that if r and s in {1/3, 1/6, 1/9, ..., 1/3n} satisfy r < s, then r < k/m < (k+1)/m < s for some integer k.at n=45A024838
- Smallest prime formed by appending a number to the n-th prime.at n=27A030670
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 74 ones.at n=7A031842
- Odd k for which k+2^m is composite for all m < k.at n=7A033919
- Euclid-Mullin sequence (A000945) with initial value a(1)=61 instead of a(1)=2.at n=15A051322
- Primes of the form p^2 + p - 1 when p is prime.at n=13A053185
- a(n) = p.q in decimal notation where p = prime(n) and q is the smallest prime (A066065(n)) such that the concatenation p.q is a prime.at n=27A066064
- Centered 17-gonal numbers: (17*n^2 - 17*n + 2)/2.at n=35A069130
- Centered 18-gonal numbers.at n=34A069131
- Primes of the form 210n + 1.at n=24A073102
- a(n) = 6*n^2 + 3*n + 1.at n=42A085473
- a(n) = (27*n^2 + 9*n + 2)/2.at n=28A093485
- Balanced primes of order seven.at n=12A096699
- Smallest prime equal to the sum of n distinct squares.at n=29A100559
- Primes in A002535.at n=3A111015
- Centered triangular numbers that are prime.at n=20A125602
- Mother primes of order 8.at n=21A136067
- Prime numbers p such that p^3 - p + 1 and p^3 + p - 1 are both primes.at n=19A137463