14423
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 14424
- 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
- 14422
- Möbius Function
- -1
- Radical
- 14423
- 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
- 120
- 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
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- yes
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1691
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- a(1) = 1, a(n) = n+a(n-1) if n does not divide a(n-1), else a(n) = n*a(n-1).at n=32A095234
- Numbers n with nonzero digits in their decimal representation such that when all numbers formed by inserting the exponentiation symbol between any two digits are added up, the sum is prime.at n=44A113762
- a(n) is the smallest n-digit integer such that, if all numbers formed by inserting the exponentiation symbol between any two digits are added up, the sum is prime.at n=3A117388
- Primes for which the weight as defined in A117078 is 15 and the gap as defined in A001223 is 8.at n=25A119595
- Primes congruent to 18 mod 43.at n=39A142267
- Primes congruent to 41 mod 47.at n=39A142392
- Primes congruent to 17 mod 49.at n=40A142428
- Primes congruent to 7 mod 53.at n=32A142537
- Primes congruent to 13 mod 55.at n=38A142610
- Primes congruent to 27 mod 59.at n=29A142754
- Primes congruent to 27 mod 61.at n=26A142825
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 1, -1), (0, 1, 0), (0, 1, 1), (1, -1, 0)}.at n=8A150039
- Primes of the form 6*n^2+17.at n=35A151953
- Primes p such that (p-1)*p*(p+1)-p-2 and (p-1)*p*(p+1)+p+2 are primes.at n=21A154942
- Primes of the form k^3 + k^2 + k - 1.at n=8A156018
- The smaller member prime(i) of an emirp pair (prime(i),prime(j)), such that the digit sum of i equals the digit sum of j.at n=11A178613
- First primes of arithmetic progressions of 7 primes each with the common difference 210.at n=18A227282
- First prime p such that (p+n)^2+n is prime but (p+j)^2+j is not prime for all 0<j<n.at n=30A238673
- Primes p such that p - 2^2, p - 4^2 and p - 6^2 are all positive primes.at n=25A246873
- Number of (n+1) X (1+1) 0..3 arrays with no 2 X 2 subblock having its minimum diagonal element less than its minimum antidiagonal element.at n=2A250958