5010
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 6
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 12096
- Proper Divisor Sum (Aliquot Sum)
- 7086
- 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
- 1328
- Möbius Function
- 1
- Radical
- 5010
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
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
- 90
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- Coordination sequence T3 for Zeolite Code MFS.at n=44A008175
- a(n) = n*(25*n + 1)/2.at n=20A022283
- Base-9 palindromes that start with 6.at n=18A043033
- Internal digits of n^2 include digits of n as subsequence.at n=17A046834
- a(n) is the index of the smallest triangular number containing exactly n 5's.at n=4A048360
- McKay-Thompson series of class 25A for Monster.at n=24A058594
- Numbers k such that k and its reversal are both multiples of 15.at n=7A062905
- Non-palindromic number and its reversal are both multiples of 15.at n=3A062914
- Numbers n such that phi(3n-1) = sigma(n).at n=33A067232
- a(1) = 1; a(n+1) is the smallest number > a(n) which differs from it at every digit.at n=31A068860
- At these values of k the first, 2nd and 3rd cyclotomic polynomials all give prime numbers.at n=24A070020
- Squarefree numbers sandwiched between a pair of twin primes.at n=38A070195
- Radius of inscribed circle within primitive Pythagorean triangles having legs that add up to a square, sorted on hypotenuse.at n=28A089551
- Numbers divisible by the number formed when their digits are sorted in ascending order, excluding trivial cases.at n=31A090053
- Numbers n divisible by at least one nontrivial permutation (rearrangement) of the digits of n.at n=38A090055
- Least multiple k of prime(n) such that (k-1,k+1) forms a twin prime pair, or 0 if no such number exists.at n=38A090530
- Initial values for the iteration of the function f(x) = A063919(x) such that the iteration ends in a 5-cycle, i.e., in A097024.at n=36A097035
- Numbers k such that N*2^k - 1 is prime where N = 9999999999999999999999988888888888888888887777777777777777766666666666665555555555544444443333322211.at n=3A098466
- a(n+1) = least positive integer not already used that begins with the last two digits of a(n).at n=24A098753
- 4-Smith numbers.at n=1A103125