1755
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
- 4
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 3360
- Proper Divisor Sum (Aliquot Sum)
- 1605
- 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
- 864
- Möbius Function
- 0
- Radical
- 195
- Omega Function (Ω)
- 5
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 42
- Smith Number
- yes
- 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
- Number of cells of square lattice of edge 1/n inside quadrant of unit circle centered at 0.at n=47A001182
- Numbers k such that 2*10^k - 1 is prime.at n=16A002957
- a(2*n) = floor( 17*2^n/14 ), a(2*n+1) = floor( 12*2^n/7 ).at n=21A003143
- Numbers that are the sum of 6 positive 5th powers.at n=43A003351
- Number of achiral trees with n nodes.at n=16A005629
- Number of sensed simple planar maps with n edges and without vertices of degree 1.at n=11A006400
- Prime(n)*...*prime(a(n)) is the least product of consecutive primes that is non-deficient.at n=28A007684
- Prime(n)*...*prime(a(n)) is the least product of consecutive primes which is abundant.at n=28A007707
- Number of lattice points inside circle of radius n is 4(a(n)+n)-3.at n=47A007882
- Coordination sequence T1 for Zeolite Code AET.at n=29A008007
- Coordination sequence T3 for Zeolite Code CAS.at n=26A008065
- Coordination sequence T2 for Banalsite.at n=25A008250
- Dates of birth of Kings Louis I, II, ... of France.at n=17A008746
- a(n) = floor( n*(n-1)*(n-2)/10 ).at n=27A011892
- Expansion of 1/((1-6*x)*(1-9*x)).at n=3A016172
- Expansion of 1/((1-2x)(1-3x)(1-10x)).at n=3A016279
- Coordination sequence T3 for Zeolite Code TER.at n=28A016435
- Powers of fifth root of 3 rounded down.at n=34A018120
- Powers of fifth root of 9 rounded down.at n=17A018138
- Numbers whose base-4 representation is the juxtaposition of two identical strings.at n=26A020332