5147
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 5148
- Proper Divisor Sum (Aliquot Sum)
- 1
- 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
- 5146
- Möbius Function
- -1
- Radical
- 5147
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 116
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 686
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Prime(n)*...*a(n) is the least product of consecutive primes which is non-deficient.at n=18A007686
- Prime(n)*...*a(n) is the least product of consecutive primes which is abundant.at n=18A007708
- Coordination sequence T1 for Zeolite Code DAC.at n=45A008067
- Coordination sequence T2 for Zeolite Code EPI.at n=45A008091
- Numbers k such that the continued fraction for sqrt(k) has period 54.at n=25A020393
- Fibonacci sequence beginning 5, 19.at n=13A022143
- Primes that remain prime through 2 iterations of function f(x) = 8x + 7.at n=36A023263
- a(n) = [ 2nd elementary symmetric function of {log(k)} ], k = 2,3,...,n.at n=35A025202
- 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=9A031569
- Primes of the form x^2+74*y^2.at n=32A033248
- Number of partitions of 5n such that cn(0,5) < cn(1,5) = cn(4,5) <= cn(2,5) = cn(3,5).at n=10A036888
- Primes with first digit 5.at n=33A045711
- Discriminants of imaginary quadratic fields with class number 19 (negated).at n=17A046016
- Primes whose consecutive digits differ by 3 or 4.at n=19A048415
- Primes p from A031924 such that A052180(primepi(p)) = 19.at n=7A052235
- Let R(i,j) be the rectangle with antidiagonals 1; 2,3; 4,5,6; ...; each k is an R(i(k),j(k)) and A057040(n)=i(F(n)), where F(n) is the n-th Fibonacci number.at n=42A057040
- Primes p such that x^31 = 2 has no solution mod p.at n=18A059225
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 100 ).at n=32A063373
- Number of primitive Pythagorean triangles with perimeter equal to A002110(n), the product of the first n primes.at n=18A077177
- n-th prime in the arithmetic progression n+k*(n+1) with k>0.at n=31A088733