λ
Ratio Atlas
Atlas › Integer Profiles › Node 6,133,575
6,133,575
3 × 52 × 72 × 1669
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5^2 × 7^2 × 1669
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 11,803,560
Proper Divisor Sum 5,669,985
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #6133573 ← → #6133579

Radix Representation

Decimal 6133575
Binary 10111011001011101000111 (23 bits)
Octal 0o27313507
Hexadecimal 0x5D9747

Divisor Catalog (36)

1 3 5 7 15 21 25 35 49 75 105 147 175 245 525 735 1,225 1,669 3,675 5,007 8,345 11,683 25,035 35,049 41,725 58,415 81,781 125,175 175,245 245,343 292,075 408,905 876,225 1,226,715 2,044,525 6,133,575

Collatz Trajectory (152 steps to reach 1)

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

6,133,575 18,400,726 9,200,363 27,601,090 13,800,545 41,401,636 20,700,818 10,350,409 31,051,228 15,525,614 7,762,807 23,288,422 11,644,211 34,932,634 17,466,317 52,398,952 26,199,476 13,099,738 6,549,869 19,649,608 9,824,804 4,912,402 2,456,201 7,368,604 3,684,302 1,842,151 5,526,454 2,763,227 8,289,682 4,144,841 12,434,524 6,217,262 3,108,631 9,325,894 4,662,947 13,988,842 6,994,421 20,983,264 10,491,632 5,245,816 2,622,908 1,311,454 655,727 1,967,182 983,591 2,950,774 1,475,387 4,426,162 2,213,081 6,639,244 3,319,622 1,659,811 4,979,434 2,489,717 7,469,152 3,734,576 1,867,288 933,644 466,822 233,411

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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