5361
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 7152
- Proper Divisor Sum (Aliquot Sum)
- 1791
- 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
- 3572
- Möbius Function
- 1
- Radical
- 5361
- 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
- 72
- 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(n) = Sum_{k=1..n} k*phi(k).at n=28A011755
- a(n) = a(n-1) + a(n-3), with a(0) = a(1) = 1, a(2) = 5.at n=21A011761
- Numbers k such that the continued fraction for sqrt(k) has period 68.at n=10A020407
- a(n) is the position of square of n-th prime among the powers of primes (A000961).at n=48A024624
- n written in fractional base 7/5.at n=29A024642
- Inverse Euler transform of {A001285(0), A001285(1), ...} where A001285(n) is Thue-Morse sequence.at n=43A029878
- 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=22A031546
- a(n) = C(n+2,3) + 2*C(n,2) + 2*(n-2).at n=28A034857
- Number of factorable subsets of a 1 X n uniform grid.at n=15A057765
- McKay-Thompson series of class 52a for Monster.at n=56A058707
- Numbers which yield a prime whenever a 1 is inserted anywhere in them (including at the beginning or end).at n=53A068679
- a(1) = 8; a(n) is smallest number > a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime.at n=40A074344
- Expansion of (1-x)/(1+2*x^2+x^3).at n=22A078036
- Number of 6k+1 primes (A002476) in range ]2^n,2^(n+1)].at n=16A095015
- Concatenations of pairs of primes that differ by 8.at n=5A104718
- Triangle of numbers related to the generalized Catalan sequence C(2;n+1)=A064062(n+1), n>=0.at n=25A113647
- A sequence related to Catalan numbers A000108.at n=6A115138
- Third diagonal (M=3) sequence of triangle A113647, called Y(2,1).at n=4A115150
- Start with 1027 and repeatedly reverse the digits and add 16 to get the next term.at n=38A119455
- Numbers k such that 1 + k + k^3 + k^5 + k^7 + k^9 + k^11 + ... + k^53 + k^55 is prime.at n=43A124207