13733
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 14208
- Proper Divisor Sum (Aliquot Sum)
- 475
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 13260
- Möbius Function
- 1
- Radical
- 13733
- 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
- 151
- 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
- Number of switching networks with GL(n,2) acting on the domain and AG(2,2) acting on the range.at n=3A000892
- Smallest number with exactly n prime substrings.at n=12A035244
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 22.at n=40A051963
- Numbers k such that (10*7^k -1)/3 is prime.at n=17A057018
- Concatenation of n-th prime and n in decimal notation.at n=32A075110
- n(k) is the minimum number of n that need at least another number of k to make Prime[n]+2*Prime[n-k]a prime.at n=49A114232
- Number of base 15 circular n-digit numbers with adjacent digits differing by 6 or less.at n=4A125403
- Greatest number m such that the fractional part of (1024/1000)^A153677(n) <= 1/m.at n=9A153681
- Numbers with d digits (d>0) which have at least 2d distinct primes as substrings.at n=7A168167
- Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of the symmetric matrix A202874; by antidiagonals.at n=39A202875
- Number of partitions of n such that (least part) > (multiplicity of least part).at n=51A240176
- Number of active (ON, black) cells at stage 2^n-1 of the two-dimensional cellular automaton defined by "Rule 179", based on the 5-celled von Neumann neighborhood.at n=6A270623
- Numbers k such that k^(k + 1) + k - 1 is prime.at n=7A309140
- G.f. A(x) satisfies: A(x) = x * (1 + A(x) + A(x^2)^2 + A(x^3)^3 + ...).at n=46A332753
- G.f. A(x) satisfies: A(x) = x * (1 + A(x) + A(x^2)^2 + A(x^3)^3 + ...).at n=47A332753
- Lexicographically earliest sequence of distinct positive integers such that the concatenation of any four successive digits forms a prime.at n=42A334050
- a(n) is the upper end of a record gap A349995(n) between consecutive odd squarefree semiprimes (A046388).at n=7A350099