3006
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 6552
- Proper Divisor Sum (Aliquot Sum)
- 3546
- 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
- 996
- Möbius Function
- 0
- Radical
- 1002
- Omega Function (Ω)
- 4
- 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
- 141
- 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
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- Exponential generating function x*exp(x/(1-x)).at n=5A006152
- Coordination sequence T7 for Zeolite Code MTT.at n=33A008195
- Coordination sequence T7 for Zeolite Code NES.at n=35A008211
- a(n) = floor(n(n-1)(n-2)(n-3)/19).at n=17A011929
- Least k such that first k terms of A022300 contain n more 1's than 2's.at n=17A022302
- Coordination sequence T3 for Zeolite Code CFI.at n=36A033601
- Numbers whose base-2 and base-10 expansions have the same digit sum.at n=44A037308
- Numbers whose base-3 and base-4 expansions have no digits in common.at n=11A037345
- Positive numbers having the same set of digits in base 5 and base 9.at n=36A037432
- Numbers k such that string 1,1 occurs in the base 9 representation of k but not of k-1.at n=37A044261
- Numbers n such that string 0,6 occurs in the base 10 representation of n but not of n-1.at n=31A044338
- Numbers k such that string 1,0 occurs in the base 9 representation of k but not of k+1.at n=36A044641
- Numbers n such that string 0,6 occurs in the base 10 representation of n but not of n+1.at n=31A044719
- Numbers whose base-3 representation contains exactly four 0's and four 1's.at n=28A044989
- Numbers whose base-4 representation contains exactly three 2's and three 3's.at n=6A045151
- Internal digits of n^2 include digits of n.at n=43A046832
- Internal digits of n^2 include digits of n, n does not end in 0.at n=30A046833
- a(n) = a(1) + a(2) + ... + a(n-1) - a(m) for n >= 4, where m = 2^(p+1) + 2 - n and p is the unique integer such that 2^p < n - 1 <= 2^(p+1), starting with a(1) = a(2) = 1 and a(3) = 3.at n=13A049893
- a(n) = least value such that sequence increases and pairwise differences are unique.at n=41A058335
- Numbers which are the sum of their proper divisors containing the digit 0.at n=12A059461