13723
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 13724
- 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
- 13722
- Möbius Function
- -1
- Radical
- 13723
- 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
- 58
- 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
- 1624
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Consider all integer triples (i,j,k), j,k>0, with i^3=j^3+binomial(k+2,3), ordered by increasing i; sequence gives i values.at n=19A054234
- Primes p such that 6p + 1 and (p-1)/6 are primes.at n=25A085957
- Primes for which the weight as defined in A117078 is 11 and the gap as defined in A001223 is 6.at n=28A119597
- Primes of the form 210k + 73.at n=33A140857
- Primes congruent to 29 mod 41.at n=41A142226
- Primes congruent to 6 mod 43.at n=38A142255
- Primes congruent to 46 mod 47.at n=33A142397
- Primes congruent to 49 mod 53.at n=28A142579
- Primes congruent to 28 mod 55.at n=39A142621
- Primes congruent to 35 mod 59.at n=28A142762
- Primes congruent to 59 mod 61.at n=26A142857
- Primes of form 5+38*n^2.at n=14A173554
- Primes with seven embedded primes.at n=25A179915
- Least number k having n representations as the sum of the minimal number of biquadrates A002377(k).at n=11A185673
- Prime numbers containing the digit string 137.at n=8A190307
- Primes of the form 2n^3+5.at n=5A201109
- Primes of the form 5n^3+3.at n=3A201173
- n is in the sequence if n is prime, (n-1)/3^A007949(n-1) is a squarefree number, A007949(n-1) < 3 and every prime divisor of n-1 is in the sequence.at n=9A229290
- Number of partitions of n for which 2*(number of distinct parts) <= (number of parts).at n=37A237363
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 289", based on the 5-celled von Neumann neighborhood.at n=28A271127