5251
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 5400
- Proper Divisor Sum (Aliquot Sum)
- 149
- 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
- 5104
- Möbius Function
- 1
- Radical
- 5251
- 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
- 28
- 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
- Squares written in base 7.at n=42A002440
- Nonsquare values of m in the discriminant D = 4*m leading to a new maximum of the L-function of the Dirichlet series L(1) = Sum_{k>0} Kronecker(D,k)/k.at n=29A003421
- Numbers k such that the continued fraction for sqrt(k) has period 78.at n=8A020417
- Least m such that if r and s in {1/2, 1/5, 1/8,..., 1/(3n-1)}, satisfy r < s, then r < k/m < s for some integer k.at n=47A024823
- Sequence satisfies T^2(a)=a, where T is defined below.at n=53A027590
- 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 71.at n=17A031569
- Second pentagonal numbers with odd index: a(n) = (2*n-1)*(3*n-1).at n=30A033568
- Positive numbers having the same set of digits in base 5 and base 8.at n=38A037431
- Numerators of continued fraction convergents to sqrt(194).at n=4A041360
- Numerators of continued fraction convergents to sqrt(797).at n=4A042536
- Denominators of continued fraction convergents to sqrt(993).at n=6A042923
- Expansion of (1+3*x)/(1-4*x+x^2).at n=6A054485
- Second spoke of a hexagonal spiral.at n=42A056106
- a(n) = 6*n^2 + 6*n + 31.at n=29A060834
- Numbers k such that d(k) + d(k+1) + d(k+2) = 8, where d(k) = A001223.at n=26A064026
- Numbers k such that A048138(k) is a prime and sets a new record for such primes.at n=25A064440
- Numbers m such that [A070080(m), A070081(m), A070082(m)] is a right integer triangle.at n=14A070136
- Numbers k such that [A070080(k), A070081(k), A070082(k)] is a right integer triangle with relatively prime side lengths.at n=6A070137
- Numbers n such that [A070080(n), A070081(n), A070082(n)] is an integer triangle with integer area, having relatively prime side lengths.at n=36A070143
- Numbers n such that [A070080(n), A070081(n), A070082(n)] is an integer triangle with integer inradius.at n=37A070209