5261
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 5262
- 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
- 5260
- Möbius Function
- -1
- Radical
- 5261
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 54
- 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
- 698
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of points of norm <= n^2 in square lattice.at n=41A000328
- Expansion of 1/((1-x^2)*(1-x^4)^2*(1-x^6)*(1-x^8)*(1-x^10)) (even powers only).at n=35A001994
- Quintan primes: p = (x^5 - y^5)/(x - y).at n=6A002649
- Coordination sequence T3 for Zeolite Code VET.at n=44A009904
- Numbers k such that the continued fraction for sqrt(k) has period 7.at n=36A010338
- Expansion of g.f. 1/((1-4*x)*(1-7*x)).at n=4A016150
- Primes that remain prime through 2 iterations of function f(x) = 3x + 8.at n=48A023248
- Primes that remain prime through 3 iterations of function f(x) = 3x + 8.at n=6A023279
- Primes of the form k^2 + k + 5.at n=21A027755
- Primes such that in p^2 the parity of digits alternates.at n=36A030145
- Primes which when concatenated with next 3 primes are also prime.at n=39A030472
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted then there are a pair of central terms both equal to 7.at n=13A031420
- Primes that are decimal concatenations of n with n + 9.at n=8A032632
- Primes of form x^2+89*y^2.at n=24A033257
- Let a (resp. b,c,d) be number of primes in the range {2..p} that end in 1 (resp. 3,7,9); sequence gives p such that a=d and b=c.at n=35A038562
- Primes with first digit 5.at n=45A045711
- Primes p such that pp'-2 is prime, where p' denotes the next prime after p.at n=30A048797
- Primes p such that number of primes produced according to rules stipulated in Honaker's A048853 is 4.at n=15A050666
- Second term of strong prime 5-tuples: p(m)-p(m-1) > p(m+1)-p(m) > p(m+2)-p(m+1) > p(m+3)-p(m+2).at n=13A054809
- Primes p whose period of reciprocal equals (p-1)/5.at n=12A056210