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Ratio Atlas
Atlas › Integer Profiles › Node 4,457,511
4,457,511
34 × 113 × 487
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^4 × 113 × 487
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 6,731,472
Proper Divisor Sum 2,273,961
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4457507 ← → #4457539

Radix Representation

Decimal 4457511
Binary 10001000000010000100111 (23 bits)
Octal 0o21002047
Hexadecimal 0x440427

Divisor Catalog (20)

1 3 9 27 81 113 339 487 1,017 1,461 3,051 4,383 9,153 13,149 39,447 55,031 165,093 495,279 1,485,837 4,457,511

Collatz Trajectory (149 steps to reach 1)

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

4,457,511 13,372,534 6,686,267 20,058,802 10,029,401 30,088,204 15,044,102 7,522,051 22,566,154 11,283,077 33,849,232 16,924,616 8,462,308 4,231,154 2,115,577 6,346,732 3,173,366 1,586,683 4,760,050 2,380,025 7,140,076 3,570,038 1,785,019 5,355,058 2,677,529 8,032,588 4,016,294 2,008,147 6,024,442 3,012,221 9,036,664 4,518,332 2,259,166 1,129,583 3,388,750 1,694,375 5,083,126 2,541,563 7,624,690 3,812,345 11,437,036 5,718,518 2,859,259 8,577,778 4,288,889 12,866,668 6,433,334 3,216,667 9,650,002 4,825,001 14,475,004 7,237,502 3,618,751 10,856,254 5,428,127 16,284,382 8,142,191 24,426,574 12,213,287 36,639,862

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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