11971
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 11972
- 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
- 11970
- Möbius Function
- -1
- Radical
- 11971
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 94
- 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
- 1436
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes with record values of the least positive prime primitive root.at n=8A029932
- Primes that are palindromic in base 9.at n=26A029977
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 82 ones.at n=5A031850
- Numbers n such that 211*2^n-1 is prime.at n=14A050857
- Least prime in A031928 (lesser of 10-twins) whose distance to the next 10-twin is 6*n.at n=43A052354
- Primes with 10 as smallest positive primitive root.at n=34A061323
- Centered 19-gonal numbers.at n=35A069132
- Primes of the form 210n + 1.at n=27A073102
- Let p = n-th prime, then a(n) = smallest prime having p as its least prime primitive root.at n=21A084739
- Numbers n such that 2*p(n)+3, 2*p(n+1)+3, 2*p(n+2)+3 are consecutive primes, where p(i) denotes the i-th prime.at n=16A088066
- Number of partitions of n with at most two even parts.at n=41A096778
- Smallest prime p such that p# + Mersenne-prime(n) is prime.at n=25A098567
- Primes p such that p's set of distinct digits is {1,7,9}.at n=12A108384
- Primes p such that (p + nextprime + p) and also (p + previousprime + p) are primes.at n=29A125146
- Mother primes of order 9.at n=33A136068
- Slowest-increasing sequence of noncomposite numbers such that the partial sums of the sequence are perfect powers.at n=8A137355
- Prime numbers p such that p^3 - (p-1)^2 and p^3 + (p-1)^2 are also primes.at n=17A137474
- Primes p1 such that p1^2+p2^3=pp are average of twin primes. p1 and p2 consecutive primes, p1 < p2.at n=15A138715
- Primes congruent to 40 mod 41.at n=33A142237
- Primes congruent to 17 mod 43.at n=35A142266