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Ratio Atlas
Atlas › Integer Profiles › Node 985,257
985,257
33 × 7 × 13 × 401
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^3 × 7 × 13 × 401
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 1,800,960
Proper Divisor Sum 815,703
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #985253 ← → #985277

Radix Representation

Decimal 985257
Binary 11110000100010101001 (20 bits)
Octal 0o3604251
Hexadecimal 0xF08A9

Divisor Catalog (32)

1 3 7 9 13 21 27 39 63 91 117 189 273 351 401 819 1,203 2,457 2,807 3,609 5,213 8,421 10,827 15,639 25,263 36,491 46,917 75,789 109,473 140,751 328,419 985,257

Collatz Trajectory (289 steps to reach 1)

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

985,257 2,955,772 1,477,886 738,943 2,216,830 1,108,415 3,325,246 1,662,623 4,987,870 2,493,935 7,481,806 3,740,903 11,222,710 5,611,355 16,834,066 8,417,033 25,251,100 12,625,550 6,312,775 18,938,326 9,469,163 28,407,490 14,203,745 42,611,236 21,305,618 10,652,809 31,958,428 15,979,214 7,989,607 23,968,822 11,984,411 35,953,234 17,976,617 53,929,852 26,964,926 13,482,463 40,447,390 20,223,695 60,671,086 30,335,543 91,006,630 45,503,315 136,509,946 68,254,973 204,764,920 102,382,460 51,191,230 25,595,615 76,786,846 38,393,423 115,180,270 57,590,135 172,770,406 86,385,203 259,155,610 129,577,805 388,733,416 194,366,708 97,183,354 48,591,677

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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