2709
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 4576
- Proper Divisor Sum (Aliquot Sum)
- 1867
- 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
- 1512
- Möbius Function
- 0
- Radical
- 903
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 53
- 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
- no
- Odd
- yes
Appears in sequences
- Divisors of 2^42 - 1.at n=23A003547
- a(n) = ceiling(1000*log(n)).at n=14A004242
- Coordination sequence T2 for Zeolite Code APC.at n=36A008033
- Number of Barlow packings with group P3(bar)m1(O) that repeat after 2n layers.at n=10A011952
- Number of Barlow packings with group R3(bar)m(O) that repeat after 6n layers.at n=11A011955
- Expansion of e.g.f. arcsin(exp(x)*log(x+1)).at n=6A012275
- Numbers k that divide s(k), where s(1)=1, s(j)=9*s(j-1)+j.at n=21A014857
- Numbers k such that k divides 4^k - 1.at n=25A014945
- Odd numbers k that divide 25^k - 1.at n=31A014962
- Numbers k such that k | 5^k + 1.at n=25A015951
- Denominator of n*(n-3)*(3*n^2 - 6*n + 2)/(3*(n-1)*(n-2)).at n=41A023418
- a(n) = Sum_{k=1..n} (n-k) * floor(n/k).at n=30A024920
- "DHK[ 7 ]" (bracelet, identity, unlabeled, 7 parts) transform of 1,1,1,1,...at n=11A032248
- Numbers k whose decimal representation, read as a base-19 value and divided by k, yields an integer.at n=10A032569
- Number of partitions satisfying (cn(0,5) <= cn(2,5) = cn(3,5) and cn(0,5) <= cn(1,5) and cn(0,5) <= cn(4,5)).at n=39A036807
- Numerators of continued fraction convergents to sqrt(391).at n=7A041742
- Numerators of continued fraction convergents to sqrt(455).at n=2A041866
- Base-5 palindromes that start with 4.at n=20A043009
- Base-8 palindromes that start with 5.at n=12A043025
- Numbers whose base-2 representation has exactly 11 runs.at n=3A043578