10000
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 1
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 25
- Divisor Sum
- 24211
- Proper Divisor Sum (Aliquot Sum)
- 14211
- 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
- 4000
- Möbius Function
- 0
- Radical
- 10
- Omega Function (Ω)
- 8
- 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
- yes
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 29
- 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
- no
- Perfect Power
- yes
- Smooth Number
- yes
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Names
- German
- zehntausend· ordinal: zehntausendste
- English
- ten thousand· ordinal: 10000th
- Spanish
- diez mil· ordinal: 10000º
- French
- dix mille· ordinal: dix millième
- Italian
- diecimila· ordinal: 10000º
- Latin
- decem milia· ordinal: 10000.
- Portuguese
- dez mil· ordinal: 10000º
Appears in sequences
- Numbers written in base of triangular numbers.at n=14A000462
- Fourth powers: a(n) = n^4.at n=10A000583
- a(1)=0, a(2n) = a(n)+1, a(2n+1) = 10*a(n+1).at n=16A001202
- Squares written in base 2.at n=4A001737
- a(n) = n^2 written in base 3.at n=9A001738
- Squares written in base 4.at n=16A001739
- Squares written in base 5.at n=25A001740
- Squares written in base 6.at n=36A001741
- Numbers of the form 2^i*5^j with i, j >= 0.at n=47A003592
- a(n) = 10000*log_10(n) rounded down.at n=9A004228
- a(n) = 10000*log_10(n) rounded to the nearest integer.at n=9A004229
- a(n) = 10000*log_10(n) rounded up.at n=9A004230
- a(n) = floor(10000*log_2(n)).at n=1A004268
- a(n) = round(10000*log_2(n)).at n=1A004269
- a(n) = ceiling(10000*log_2(n)).at n=1A004270
- Least positive multiple of n written in base 6 using only 0 and 1.at n=15A004286
- Least positive multiple of n that when written in base 10 uses only 0's and 1's.at n=15A004290
- Cubes written in base 8.at n=15A004638
- Powers of 2 written in base 4.at n=8A004643
- Powers of 2 written in base 8.at n=12A004647