16141
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 16142
- 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
- 16140
- Möbius Function
- -1
- Radical
- 16141
- 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
- 71
- 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
- 1879
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- a(0)=2; for n>=1, a(n) = smallest prime p such that there is a gap of exactly 2n between p and next prime, or -1 if no such prime exists.at n=21A000230
- Primes p such that the multiplicative order of 2 modulo p is (p-1)/5.at n=39A001135
- Primes whose reversal is a square.at n=15A007488
- Numbers k such that the continued fraction for sqrt(k) has period 49.at n=21A020388
- Initial terms of '4-block' primes as described in A032591.at n=24A032592
- Numbers whose set of base-11 digits is {1,4}.at n=33A032823
- Primes p whose period of reciprocal equals (p-1)/5.at n=32A056210
- Smallest prime p such that there is a gap of 6n between p and the next prime.at n=6A058193
- a(n) = Min{ q prime | nextprime(q) - q - 1 = prime(n)}, or 0 if none exist.at n=11A063793
- Primes which can be expressed as concatenation of powers of 4 and 0's.at n=18A066595
- Primes which yield a prime whenever a 1 is inserted anywhere in them (including at the beginning or end).at n=22A069246
- Primes whose digit reversal is a nontrivial power.at n=18A069798
- Primes for which the four closest primes are smaller.at n=36A075030
- Primes p such that (r-p)/log(p) > 4, where r is the next prime after p.at n=2A082889
- Middle q of three consecutive primes p,q,r, such that one adjacent prime is near, the other is far and the ratio of the differences (whichever of (r-q)/(q-p) or (q-p)/(r-q) is greater than 1) sets a record.at n=11A084105
- Primes such that a sum of any two adjacent digits is prime; first and last digits are considered adjacent.at n=42A086244
- Twin-prime-indexed primes (TWIPS): members of a pair of twin primes whose prime index is also a member of a pair of twin primes.at n=34A087373
- Irregular primes whose indices are irregular primes of order one.at n=49A090869
- a(n) = prime(prime(A096480(n))).at n=20A096482
- Smallest prime p(i) such that between 2p(i) and 2p(i+1) there exist n primes.at n=11A104380