14387
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 14388
- 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
- 14386
- Möbius Function
- -1
- Radical
- 14387
- 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
- 164
- 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
- yes
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1685
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- a(n) = Sum_{0 <= i < j <= n} (prime(j) - prime(i))^2, where prime(0) = 1.at n=10A024526
- Integers n > 1997 such that the 'Reverse and Add!' trajectory of n joins the trajectory of 1997.at n=29A063055
- a(n) is the smallest lesser of twin prime p, such that prime(2 + p) - prime(p) = 2n (cf. A096474).at n=22A096475
- Primes of the form 47n+5.at n=39A100760
- Smallest prime forming a product of n distinct primes when a 1 is appended to it.at n=4A105525
- Largest of five consecutive primes the sum of the digits of each of which is prime.at n=38A106717
- Largest of six consecutive primes the sum of the digits of each of which is prime.at n=16A106720
- Largest of seven consecutive primes whose sum of digits is prime.at n=7A106721
- Largest of eight consecutive primes whose sum of digits is prime.at n=3A106724
- Largest of nine consecutive primes the sum of the digits of each of which is prime.at n=0A106725
- Lesser of twin primes isolated from neighboring primes by +- 10 (or more).at n=26A138063
- Primes congruent to 37 mod 41.at n=40A142234
- Primes congruent to 25 mod 43.at n=40A142274
- Primes congruent to 30 mod 49.at n=40A142439
- Primes congruent to 24 mod 53.at n=29A142554
- Primes congruent to 32 mod 55.at n=40A142624
- Primes congruent to 50 mod 59.at n=28A142777
- Primes congruent to 52 mod 61.at n=26A142850
- Primes of the form 2*p+1 where p is prime and p+1 is squarefree.at n=36A153209
- Primes of the form n^2 - 13.at n=14A154648