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Ratio Atlas
Atlas › Integer Profiles › Node 16,972,767
16,972,767
33 × 72 × 12829
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^3 × 7^2 × 12829
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 29,252,400
Proper Divisor Sum 12,279,633
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #16972759 ← → #16972771

Radix Representation

Decimal 16972767
Binary 1000000101111101111011111 (25 bits)
Octal 0o100575737
Hexadecimal 0x102FBDF

Divisor Catalog (24)

1 3 7 9 21 27 49 63 147 189 441 1,323 12,829 38,487 89,803 115,461 269,409 346,383 628,621 808,227 1,885,863 2,424,681 5,657,589 16,972,767

Collatz Trajectory (231 steps to reach 1)

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

16,972,767 50,918,302 25,459,151 76,377,454 38,188,727 114,566,182 57,283,091 171,849,274 85,924,637 257,773,912 128,886,956 64,443,478 32,221,739 96,665,218 48,332,609 144,997,828 72,498,914 36,249,457 108,748,372 54,374,186 27,187,093 81,561,280 40,780,640 20,390,320 10,195,160 5,097,580 2,548,790 1,274,395 3,823,186 1,911,593 5,734,780 2,867,390 1,433,695 4,301,086 2,150,543 6,451,630 3,225,815 9,677,446 4,838,723 14,516,170 7,258,085 21,774,256 10,887,128 5,443,564 2,721,782 1,360,891 4,082,674 2,041,337 6,124,012 3,062,006 1,531,003 4,593,010 2,296,505 6,889,516 3,444,758 1,722,379 5,167,138 2,583,569 7,750,708 3,875,354

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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