13703
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
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 13968
- Proper Divisor Sum (Aliquot Sum)
- 265
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 13440
- Möbius Function
- 1
- Radical
- 13703
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- 58
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Minimum positive value of lcm{1,...,n}*(s_1/1 + ... + s_n/n), where each s_i equals 1 or -1.at n=26A061194
- Minimum positive value of lcm{1,...,n}*(s_1/1 + ... + s_n/n), where each s_i equals 1 or -1.at n=27A061194
- Composite numbers not divisible by 2 or 3 which in base 3 contain their largest proper factor as a substring.at n=17A063132
- Numbers k such that 11k = 6j^2 + 6j + 1.at n=28A106388
- Nonnegative values x of solutions (x, y) to the Diophantine equation x^2+(x+2401)^2 = y^2.at n=12A118630
- One-seventh of the difference of squares of legs of primitive Pythagorean triangles, neither of which is a multiple of 7.at n=42A127924
- a(n) = (4*n + 3)*(1 + 2*n^2)/3.at n=17A168574
- a(n) = (4*n^3 - 6*n^2 + 8*n + 9 + 3*(-1)^n)/12.at n=35A168582
- Number of 4-bead necklaces labeled with numbers -n..n not allowing reversal, with sum zero and first differences in -n..n.at n=33A208995
- Number of ordered triples (w,x,y) with all terms in {1,...,n} and w^2+x^2+y^2>2n.at n=24A211644
- Smallest m such that A070965(m) = n.at n=33A227953
- Numerator of smallest nonnegative fraction of form +- 1 +- 1/2 +- 1/3 ... +- 1/n.at n=27A232111
- Numerator of smallest nonnegative fraction of form +- 1 +- 1/2 +- 1/3 ... +- 1/n.at n=28A232111
- The Hwang-Deutsch function f_4(n).at n=45A260997
- Numbers k such that (7*10^k + 53)/3 is prime.at n=17A293683
- Lapidary numbers.at n=31A332755
- Numbers k such that k!^2 + ((k - 1)!^2) + 1 is prime.at n=16A374901
- a(1) = 2; for n > 1, a(n) = a(n-1)*prime(n) if a(n-1)<=prime(n), otherwise a(n) = a(n-1)-prime(n).at n=35A382619
- Semiprimes that are (perimeter^2 - hypotenuse^2) of a Pythagorean triple.at n=3A389589