λ
Ratio Atlas
Atlas › Integer Profiles › Node 53,675,307
53,675,307
32 × 7 × 17 × 23 × 2179
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 7 × 17 × 23 × 2179
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 97,943,040
Proper Divisor Sum 44,267,733
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #53675287 ← → #53675311

Radix Representation

Decimal 53675307
Binary 11001100110000010100101011 (26 bits)
Octal 0o314602453
Hexadecimal 0x333052B

Divisor Catalog (48)

1 3 7 9 17 21 23 51 63 69 119 153 161 207 357 391 483 1,071 1,173 1,449 2,179 2,737 3,519 6,537 8,211 15,253 19,611 24,633 37,043 45,759 50,117 111,129 137,277 150,351 259,301 333,387 350,819 451,053 777,903 851,989 1,052,457 2,333,709 2,555,967 3,157,371 5,963,923 7,667,901 17,891,769 53,675,307

Collatz Trajectory (163 steps to reach 1)

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

53,675,307 161,025,922 80,512,961 241,538,884 120,769,442 60,384,721 181,154,164 90,577,082 45,288,541 135,865,624 67,932,812 33,966,406 16,983,203 50,949,610 25,474,805 76,424,416 38,212,208 19,106,104 9,553,052 4,776,526 2,388,263 7,164,790 3,582,395 10,747,186 5,373,593 16,120,780 8,060,390 4,030,195 12,090,586 6,045,293 18,135,880 9,067,940 4,533,970 2,266,985 6,800,956 3,400,478 1,700,239 5,100,718 2,550,359 7,651,078 3,825,539 11,476,618 5,738,309 17,214,928 8,607,464 4,303,732 2,151,866 1,075,933 3,227,800 1,613,900 806,950 403,475 1,210,426 605,213 1,815,640 907,820 453,910 226,955 680,866 340,433

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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