3057
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 4080
- Proper Divisor Sum (Aliquot Sum)
- 1023
- 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
- 2036
- Möbius Function
- 1
- Radical
- 3057
- Omega Function (Ω)
- 2
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 110
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- 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
- Number of rooted ternary trees with n nodes; number of n-carbon alkyl radicals C(n)H(2n+1) ignoring stereoisomers.at n=12A000598
- a(n) = 3^n reduced modulo 2^n.at n=12A002380
- a(n) = floor( Gamma(n+3/4) ).at n=7A014514
- Coordination sequence T2 for Zeolite Code OSI.at n=36A016431
- Conjectured formula for irreducible 5-fold Euler sums of weight 2n+13.at n=28A019450
- Sequence A025513 divided by 2.at n=19A025514
- a(n) = Sum_{k=0..floor(n/2)} T(n,k), T given by A026780.at n=10A026788
- 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 36.at n=16A031534
- Coordination sequence T2 for Zeolite Code TSC.at n=46A033617
- Numbers k such that the string 6,6 occurs in the base 9 representation of k but not of k-1.at n=37A044311
- Numbers n such that string 5,7 occurs in the base 10 representation of n but not of n-1.at n=33A044389
- Numbers n such that string 6,6 occurs in the base 9 representation of n but not of n+1.at n=37A044692
- Numbers n such that string 5,7 occurs in the base 10 representation of n but not of n+1.at n=33A044770
- Starting positions of strings of 2 7's in the decimal expansion of Pi.at n=28A050254
- Number of primitive subsequences of {1, 2, ..., n}.at n=17A051026
- Difference between length (A005341) and sum of digits (A004977) of n-th term in Look and Say Sequence (A005150).at n=29A056635
- Numbers k such that the smoothly undulating palindromic number (79*10^k - 97)/99 is a prime.at n=4A062226
- Number of invertible Steinhaus matrices of order n.at n=11A065763
- Number of ways to tile a 4 X n room with 1x2 Tatami mats. At most 3 Tatami mats may meet at a point.at n=44A068923
- Number of squares on infinite half chessboard at <=n knight moves from a fixed point on the diagonal.at n=21A098499