6000
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
- 40
- Divisor Sum
- 19344
- Proper Divisor Sum (Aliquot Sum)
- 13344
- 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
- 1600
- Möbius Function
- 0
- Radical
- 30
- Omega Function (Ω)
- 8
- Little Omega Function (ω)
- 3
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
- 49
- 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
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- yes
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- Related to Gilbreath conjecture.at n=25A001549
- 'Eban' numbers (the letter 'e' is banned!).at n=59A006933
- Some permutation of digits is a factorial number.at n=46A007926
- Some nontrivial permutation of digits is a factorial number.at n=39A007927
- Numbers k such that k^2 and k have same last 3 digits.at n=24A008853
- Triangle of coefficients in expansion of (2+5x)^n.at n=23A013621
- a(n) = (1/12)*(n+5)*(n+1)*n^2.at n=15A014205
- Numbers k such that the decimal expansion of k^2 contains k as a substring.at n=21A018834
- Central decanomial coefficients: largest coefficient of (1 + x + ... + x^9)^n.at n=5A025015
- Numbers of form 6^i*10^j with i, j >= 0.at n=13A025629
- Expansion of x^2*(2 - x + x^2) / ((1 + x)*(1 - x)^4).at n=31A026035
- a(n)/1000 gives sqrt(n) to 3 places after the decimal point.at n=35A027662
- Numbers k that divide the (right) concatenation of all numbers <= k written in base 5 (most significant digit on left).at n=17A029450
- Substring of both its square and its cube.at n=20A029943
- a(0) = 0; for n>0, a(n) is the smallest number greater than a(n-1) which does not use any digit used by a(n-1).at n=32A030283
- Numbers k whose decimal representation, read as a base-20 value and divided by k, yields an integer.at n=40A032571
- Every run of digits of n in base 14 has length 2.at n=33A033012
- Number of strings of n distinct digits from 0-9 that are the last n digits of a square in base 8.at n=7A036751
- Number of strings of n distinct digits from 0-9 that are the last n digits of a square in base 8.at n=6A036751
- Number of partitions satisfying (cn(0,5) <= cn(1,5) = cn(4,5) and cn(1,5) <= cn(2,5) and cn(1,5) <= cn(3,5)).at n=51A036819