5001
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
- 4
- Divisor Sum
- 6672
- Proper Divisor Sum (Aliquot Sum)
- 1671
- 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
- 3332
- Möbius Function
- 1
- Radical
- 5001
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 64
- 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
- no
- Odd
- yes
Appears in sequences
- Numbers k such that k^2 and k have same last 3 digits.at n=21A008853
- Integers that are squarefree and also the sum of first k squarefrees for some k.at n=46A013932
- Numbers k such that the continued fraction for sqrt(k) has period 76.at n=4A020415
- n written in fractional base 10/5.at n=41A024660
- 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 46.at n=28A031544
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 40 ones.at n=17A031808
- Trimorphic numbers: n^3 ends with n. Also m-morphic numbers for all m > 5 such that m-1 is not divisible by 10 and m == 3 (mod 4).at n=30A033819
- Decimal part of cube root of a(n) starts with 1: first term of runs.at n=15A034127
- Hexamorphic numbers: k such that the k-th hexagonal number ends with k.at n=17A039594
- Base-8 palindromes that start with 1.at n=32A043021
- a(n)=(s(n)+5)/10, where s(n)=n-th base 10 palindrome that starts with 5.at n=22A043084
- Numbers having four 1's in base 8.at n=21A043428
- Numbers having three 6's in base 9.at n=28A043479
- Numbers k such that 129*2^k-1 is prime.at n=30A050590
- Numbers n such that 147*2^n-1 is prime.at n=23A050599
- Trimorphic but not bimorphic nor automorphic.at n=22A056032
- Numbers k such that k^4 == 1 (mod 5^4).at n=32A056091
- Numbers m that divide the concatenation of m+1 and m+2.at n=13A069860
- Numbers k such that k^4 has k as a substring of its decimal expansion.at n=38A075904
- Positive integers read backwards, but omit a number if it is <= an earlier number.at n=56A076643