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Ratio Atlas
Atlas › Integer Profiles › Node 1,781,871
1,781,871
3 × 7 × 13 × 61 × 107
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 7 × 13 × 61 × 107
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 2,999,808
Proper Divisor Sum 1,217,937
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #1781863 ← → #1781873

Radix Representation

Decimal 1781871
Binary 110110011000001101111 (21 bits)
Octal 0o6630157
Hexadecimal 0x1B306F

Divisor Catalog (32)

1 3 7 13 21 39 61 91 107 183 273 321 427 749 793 1,281 1,391 2,247 2,379 4,173 5,551 6,527 9,737 16,653 19,581 29,211 45,689 84,851 137,067 254,553 593,957 1,781,871

Collatz Trajectory (264 steps to reach 1)

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

1,781,871 5,345,614 2,672,807 8,018,422 4,009,211 12,027,634 6,013,817 18,041,452 9,020,726 4,510,363 13,531,090 6,765,545 20,296,636 10,148,318 5,074,159 15,222,478 7,611,239 22,833,718 11,416,859 34,250,578 17,125,289 51,375,868 25,687,934 12,843,967 38,531,902 19,265,951 57,797,854 28,898,927 86,696,782 43,348,391 130,045,174 65,022,587 195,067,762 97,533,881 292,601,644 146,300,822 73,150,411 219,451,234 109,725,617 329,176,852 164,588,426 82,294,213 246,882,640 123,441,320 61,720,660 30,860,330 15,430,165 46,290,496 23,145,248 11,572,624 5,786,312 2,893,156 1,446,578 723,289 2,169,868 1,084,934 542,467 1,627,402 813,701 2,441,104

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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