5140
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 10836
- Proper Divisor Sum (Aliquot Sum)
- 5696
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2048
- Möbius Function
- 0
- Radical
- 2570
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 3
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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 28
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- yes
- Odd
- no
Appears in sequences
- Coordination sequence T4 for Zeolite Code FER.at n=44A008109
- Coordination sequence T6 for Zeolite Code MEL.at n=46A008155
- Coordination sequence T4 for Zeolite Code MTW.at n=47A008199
- Expansion of e.g.f. sec(log(x+1)/exp(x)).at n=6A013566
- Expansion of 1/(1-x^2-x^3-x^4-x^5-x^6-x^7).at n=21A013984
- Numbers k such that the continued fraction for sqrt(k) has period 50.at n=29A020389
- Numbers whose set of base-16 digits is {1,4}.at n=19A032828
- Sums of 4 distinct powers of 4.at n=27A038472
- a(n)=(s(n)+2)/9, where s(n)=n-th base 9 palindrome that starts with 7.at n=24A043078
- Numbers whose base-4 representation contains exactly three 0's and four 1's.at n=12A045032
- a(n) = T(n,n-5), array T as in A055807.at n=13A055810
- Number of homeomorphically irreducible general graphs on 4 labeled nodes and with n edges.at n=7A060579
- Solutions to phi(gpf(x)) - gpf(phi(x)) = 254 = c are special multiples of 257, x = 257k, where largest prime factors of factor k were observed from {2, 3, 5, 17}. See solutions to other even cases of c (=A070813): A007283 for 0, A070004 for 2, A070814 for 14, A070816 for 65534.at n=12A070815
- Expansion of 1/Product_{ n >= 2, n not of the form 2^k-1 } (1 - x^n).at n=48A078657
- Sum of the n smallest numbers having the sum of their digits equal to n.at n=16A081928
- Indices of primes occurring in A030284.at n=29A107365
- a(n) = a(n-2) + a(n-3) + a(n-4) + a(n-5) + a(n-6) + a(n-7).at n=20A107479
- Indices of primes occurring in A107798.at n=27A107799
- Number of regions formed inside square by diagonals and the segments joining the vertices to the points dividing the sides into n equal length segments.at n=17A108914
- Numbers k such that phi(k) is a perfect 11th power.at n=7A114573