12713
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
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 12714
- 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
- 12712
- Möbius Function
- -1
- Radical
- 12713
- 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
- 107
- 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
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1518
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- From table of maximal epacts e(p) and corresponding primes p, for x_0=2, x_{m+1} = (x_m)^2-1; sequence gives p.at n=31A014426
- Numbers k such that the continued fraction for sqrt(k) has period 61.at n=14A020400
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 17.at n=4A031605
- Denominators of continued fraction convergents to sqrt(305).at n=6A041575
- Primes of the form n^3 + n^2 + 17, for nonnegative values of n.at n=19A050266
- Primes expressible as the sum of (at least two) consecutive primes in at least 3 ways.at n=20A067379
- Smallest prime equal to the sum of 2n+1 consecutive primes.at n=36A070934
- Take A000040, omit commas: 23571113171923..., select 5-digit primes seen when scanning from left.at n=13A073038
- Primes on axis of Ulam square spiral (with rows ... / 7 8 9 / 6 1 2 / 5 4 3 / ... ) with origin at (1).at n=50A078784
- Smallest odd prime that is the sum of 2n+1 consecutive primes.at n=36A082244
- Smallest prime that is the sum of prime(n) consecutive primes.at n=20A082277
- Primes of the form 16*m^2 + 169, m=1,2,3,...at n=11A087862
- Least number beginning with prime(n) such that every concatenation is a prime.at n=30A090508
- Sum of primes p with n^2 < p < (n+1)^2.at n=36A108314
- Primes congruent to 3 mod 41.at n=39A142200
- Primes congruent to 23 mod 47.at n=32A142374
- Primes congruent to 22 mod 49.at n=33A142432
- Primes congruent to 46 mod 53.at n=27A142576
- Primes congruent to 8 mod 55.at n=41A142607
- Primes congruent to 28 mod 59.at n=24A142755