λ
Sequence Observatory

724,303

724303
Deficient Odd Prime

Starting at 724,303, the Collatz iteration reaches 1 after 180 steps. The first transition is 2172910; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 724303
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 724,304
Proper Divisor Sum 1
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #724291 ← → #724309

Radix Representation

Decimal 724303
Binary 10110000110101001111 (20 bits)
Octal 0o2606517
Hexadecimal 0xB0D4F

Divisor Catalog (2)

Collatz Trajectory (180 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

724,303 2,172,910 1,086,455 3,259,366 1,629,683 4,889,050 2,444,525 7,333,576 3,666,788 1,833,394 916,697 2,750,092 1,375,046 687,523 2,062,570 1,031,285 3,093,856 1,546,928 773,464 386,732 193,366 96,683 290,050 145,025 435,076 217,538 108,769 326,308 163,154 81,577 244,732 122,366 61,183 183,550 91,775 275,326 137,663 412,990 206,495 619,486 309,743 929,230 464,615 1,393,846 696,923 2,090,770 1,045,385 3,136,156 1,568,078 784,039 2,352,118 1,176,059 3,528,178 1,764,089 5,292,268 2,646,134 1,323,067 3,969,202 1,984,601 5,953,804

More profiles

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