13729
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 5
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 13730
- 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
- 13728
- Möbius Function
- -1
- Radical
- 13729
- 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
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1625
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Truncated square numbers: 7*n^2 + 4*n + 1.at n=44A005892
- Primes that remain prime through 3 iterations of function f(x) = 4x + 3.at n=34A023281
- Primes that remain prime through 4 iterations of function f(x) = 4x + 3.at n=8A023311
- Numbers whose least quadratic nonresidue (A020649) is 17.at n=8A025026
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 100 ones.at n=2A031868
- Primes with multiplicative persistence value 5.at n=30A046505
- Primes with 23 as smallest positive primitive root.at n=5A061335
- Primes p such that q-p = 22, where q is the next prime after p.at n=24A061779
- Lesser of two consecutive primes such that p + n*q is a perfect square, p < q.at n=20A064543
- Primes for which the four closest primes are smaller.at n=30A075030
- Primes associated with groups in A076077.at n=27A076076
- Sum of terms in n-th rows of triangle in A077159.at n=30A077162
- a(n) = prime(2*n*(n+1)+1).at n=28A078746
- Row sums of A081964.at n=30A081966
- Primes arising in A088095.at n=2A088096
- Irregular primes whose indices are irregular primes of order one.at n=41A090869
- Primes p = p_(n+1) such that p_n + p_(n+2) = 2*p_(n+1) + 16.at n=34A095651
- Primes of the form 47n+5.at n=36A100760
- Minimal set in the sense of A071062 of prime-strings in base 12 for primes of the form 4n+1.at n=25A111057
- Odd numbers n for which 17 is the smallest i (>= 1) with Jacobi symbol J(i,n) getting either a value 0 or -1.at n=12A112077