5349
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 7136
- Proper Divisor Sum (Aliquot Sum)
- 1787
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3564
- Möbius Function
- 1
- Radical
- 5349
- 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
- 46
- 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
- a(1)=1; for n>1, a(n) = 8*a(n-1) + n.at n=4A014831
- Numbers k such that the continued fraction for sqrt(k) has period 86.at n=9A020425
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 48.at n=21A031546
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 34 ones.at n=32A031802
- Take the first n numbers written in base 8, concatenate them, then convert from base 8 to base 10.at n=4A048440
- Numbers n such that 55*2^n-1 is prime.at n=30A050553
- The first n digits of the juxtaposition of the base-8 numbers converted to decimal.at n=4A055149
- Generalized Catalan numbers C(-2; n).at n=7A064311
- Triangle composed of generalized Catalan numbers.at n=47A064334
- Least k such that gcd(prime(k+1)-1, prime(k)-1) = 2n.at n=19A067605
- Average of terms in n-th row of A077316.at n=36A077319
- Number of compositions (ordered partitions) of n into powers of 3.at n=23A078932
- Satisfies A(x) = f(x) + x*A(x)*f(x)^2, where f(x) = Sum_{k>=0} x^((3^n-1)/2) and f(x)^2 = 2 - f(x^2) + 2*Sum_{n>0} x^A023745(n). Also, A(x) = f(x)*B(x), where B(x) = Sum_{k>=0} A087218(k)*x^k.at n=11A087219
- First differences of A038625.at n=5A087239
- D(n,0)/2^n, where D(n,x) is triangle A098277.at n=5A098278
- Matrix cube of triangle A113350.at n=17A113365
- Column 2 of triangle A113365, also equals column 1 of A113340^6.at n=3A113367
- Start with 1015 and repeatedly reverse the digits and add 4 to get the next term.at n=62A117807
- Semiprimes s such that s-/+2 are primes.at n=33A125215
- a(1) = 2, a(2) = 2, a(3) = 1, a(n) = a(n-3) + floor(a(n-2)/2) for n >= 4.at n=56A130816