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Ratio Atlas
Atlas › Integer Profiles › Node 1,422,015
1,422,015
3 × 5 × 7 × 29 × 467
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 7 × 29 × 467
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 2,695,680
Proper Divisor Sum 1,273,665
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #1422013 ← → #1422023

Radix Representation

Decimal 1422015
Binary 101011011001010111111 (21 bits)
Octal 0o5331277
Hexadecimal 0x15B2BF

Divisor Catalog (32)

1 3 5 7 15 21 29 35 87 105 145 203 435 467 609 1,015 1,401 2,335 3,045 3,269 7,005 9,807 13,543 16,345 40,629 49,035 67,715 94,801 203,145 284,403 474,005 1,422,015

Collatz Trajectory (235 steps to reach 1)

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

1,422,015 4,266,046 2,133,023 6,399,070 3,199,535 9,598,606 4,799,303 14,397,910 7,198,955 21,596,866 10,798,433 32,395,300 16,197,650 8,098,825 24,296,476 12,148,238 6,074,119 18,222,358 9,111,179 27,333,538 13,666,769 41,000,308 20,500,154 10,250,077 30,750,232 15,375,116 7,687,558 3,843,779 11,531,338 5,765,669 17,297,008 8,648,504 4,324,252 2,162,126 1,081,063 3,243,190 1,621,595 4,864,786 2,432,393 7,297,180 3,648,590 1,824,295 5,472,886 2,736,443 8,209,330 4,104,665 12,313,996 6,156,998 3,078,499 9,235,498 4,617,749 13,853,248 6,926,624 3,463,312 1,731,656 865,828 432,914 216,457 649,372 324,686

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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