5182
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 7776
- Proper Divisor Sum (Aliquot Sum)
- 2594
- 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
- 2590
- Möbius Function
- 1
- Radical
- 5182
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 54
- 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
- yes
- Odd
- no
Appears in sequences
- Let A(n) = #{(i,j): i^2 + j^2 <= n}, V(n) = Pi*n, P(n) = A(n) - V(n); sequence gives values of n where |P(n)| sets a new record.at n=31A000099
- Coordination sequence T3 for Zeolite Code NON.at n=43A008214
- Coordination sequence for MgNi2, Position Ni2.at n=18A009932
- Numbers whose sum of divisors is a fifth power.at n=13A019423
- a(n) = prime(n)*prime(n-1) - 1.at n=20A023515
- 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 70.at n=21A031568
- a(n) = floor ( n(n+1)(n+2)(n+3) / (n+(n+1)+(n+2)+(n+3)) ).at n=26A032767
- a(n)=(s(n)+5)/10, where s(n)=n-th base 10 palindrome that starts with 5.at n=40A043084
- Coordination sequence T3 for Zeolite Code AEN.at n=45A047952
- Integers whose sum of divisors is 6^5 = 7776.at n=8A048255
- Number of rooted trees with n nodes with every leaf at height 6.at n=17A048811
- Numbers k such that k^4 == 1 (mod 5^4).at n=33A056091
- Numbers k such that k^4 == 1 (mod 5^5).at n=6A056102
- Number of 5 x n binary matrices with 2 unit columns up to row and column permutations.at n=4A057971
- Number of right triangles of a given area required to form successively larger squares.at n=35A060626
- Positive numbers whose product of digits is 5 times their sum.at n=34A062382
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 92 ).at n=34A063365
- a(n) = 1 + n + n*[n/2] + n*[n/2]*[n/3] + n*[n/2]*[n/3]*[n/4] +... where [x]=floor(x).at n=11A075885
- Main diagonal of array A082224.at n=36A082227
- a(n) equals the least k that produces the maximum number of partial quotients in the simple continued fraction expansion of (1/n + 1/k).at n=44A091941