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Ratio Atlas
Atlas › Integer Profiles › Node 971,775
971,775
32 × 52 × 7 × 617
Abundant Odd Composite

Prime Factor Structure

Factorization String 3^2 × 5^2 × 7 × 617
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 1,992,432
Proper Divisor Sum 1,020,657
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #971767 ← → #971783

Radix Representation

Decimal 971775
Binary 11101101001111111111 (20 bits)
Octal 0o3551777
Hexadecimal 0xED3FF

Divisor Catalog (36)

1 3 5 7 9 15 21 25 35 45 63 75 105 175 225 315 525 617 1,575 1,851 3,085 4,319 5,553 9,255 12,957 15,425 21,595 27,765 38,871 46,275 64,785 107,975 138,825 194,355 323,925 971,775

Collatz Trajectory (338 steps to reach 1)

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

971,775 2,915,326 1,457,663 4,372,990 2,186,495 6,559,486 3,279,743 9,839,230 4,919,615 14,758,846 7,379,423 22,138,270 11,069,135 33,207,406 16,603,703 49,811,110 24,905,555 74,716,666 37,358,333 112,075,000 56,037,500 28,018,750 14,009,375 42,028,126 21,014,063 63,042,190 31,521,095 94,563,286 47,281,643 141,844,930 70,922,465 212,767,396 106,383,698 53,191,849 159,575,548 79,787,774 39,893,887 119,681,662 59,840,831 179,522,494 89,761,247 269,283,742 134,641,871 403,925,614 201,962,807 605,888,422 302,944,211 908,832,634 454,416,317 1,363,248,952 681,624,476 340,812,238 170,406,119 511,218,358 255,609,179 766,827,538 383,413,769 1,150,241,308 575,120,654 287,560,327

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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