5000
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 5
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 20
- Divisor Sum
- 11715
- Proper Divisor Sum (Aliquot Sum)
- 6715
- 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
- 2000
- Möbius Function
- 0
- Radical
- 10
- Omega Function (Ω)
- 7
- 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
- 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
- yes
- Achilles Number
- yes
- Perfect Power
- no
- Smooth Number
- yes
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- Number of one-sided chessboard polyominoes with n cells.at n=8A001071
- Numbers of the form 2^i*5^j with i, j >= 0.at n=41A003592
- a(n) = floor(1000*log_2(n)).at n=31A004265
- a(n) = round(1000*log_2(n)).at n=31A004266
- a(n) = ceiling(1000*log_2(n)).at n=31A004267
- Numbers k such that k^2 and k have same last 3 digits.at n=20A008853
- Triangle of coefficients in expansion of (2+5x)^n.at n=18A013621
- Denominator of sum of -4th powers of divisors of n.at n=9A017672
- Numbers k such that the decimal expansion of k^2 contains k as a substring.at n=20A018834
- n written in fractional base 10/5.at n=40A024660
- Numbers of form 5^i*8^j, with i, j >= 0.at n=16A025623
- Numbers of form 5^i*10^j, with i, j >= 0.at n=14A025625
- a(n)/1000 gives sqrt(n) to 3 places after the decimal point.at n=24A027662
- Substring of both its square and its cube.at n=19A029943
- 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 35.at n=17A031533
- Numbers that, when expressed in base 5 and then interpreted in base 10, yield a multiple of the original number.at n=38A032543
- Numbers k whose decimal representation, read as a base-20 value and divided by k, yields an integer.at n=39A032571
- a(n) = floor(10000/n).at n=1A033422
- a(n) = floor(10^5/n).at n=19A033427
- a(n) = floor(10000/sqrt(n)).at n=3A033433