13603
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 13888
- Proper Divisor Sum (Aliquot Sum)
- 285
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 13320
- Möbius Function
- 1
- Radical
- 13603
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 89
- 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
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 23 ones.at n=6A031791
- n+prime(n)+prime(prime(n)) is a triangular number, where prime(n) is the n-th prime.at n=17A116010
- Numbers n with property that n^3+n^2+{3,5} are twin primes.at n=39A168254
- 1/8 the number of (n+1)X5 0..3 arrays with all 2X2 subblock sums the same.at n=4A184024
- 1/8 the number of (n+1)X6 0..3 arrays with all 2X2 subblock sums the same.at n=3A184025
- T(n,k)=1/8 the number of (n+1)X(k+1) 0..3 arrays with all 2X2 subblock sums the same.at n=31A184029
- T(n,k)=1/8 the number of (n+1)X(k+1) 0..3 arrays with all 2X2 subblock sums the same.at n=32A184029
- a(n) = floor((10*n^3 + 63*n^2 + 126*n + 89) / 72).at n=44A254874
- Odd k for which abs(2^m - k) is nonprime for all m < k.at n=7A263865
- Semiprimes whose binary and ternary representations are prime when read in decimal.at n=19A279052
- Iteration of Abelian sandpile model where the n-th matrix expansions occurs. Begins with infinite sand in 1 X 1 matrix.at n=47A328506
- Number of integer partitions of n with no part dividing or divisible by all the others.at n=45A343342
- a(n) = Sum_{k=1..n} k^3 * phi(k).at n=9A344526
- a(n) = sum of all distinct multiplicities in every integer partition of n.at n=24A373273
- Integers k such that 511*2^k - 1 is prime.at n=28A387925