Integer 823,977 Profile | Ratio Atlas

823,977

3² × 7 × 11 × 29 × 41

Prime Factor Structure

Factorization String 3^2 × 7 × 11 × 29 × 41

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 1,572,480

Proper Divisor Sum 748,503

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #823969 ← → #823981

Radix Representation

Decimal	823977
Binary	11001001001010101001 (20 bits)
Octal	0o3111251
Hexadecimal	0xC92A9

Divisor Catalog (48)

1 3 7 9 11 21 29 33 41 63 77 87 99 123 203 231 261 287 319 369 451 609 693 861 957 1,189 1,353 1,827 2,233 2,583 2,871 3,157 3,567 4,059 6,699 8,323 9,471 10,701 13,079 20,097 24,969 28,413 39,237 74,907 91,553 117,711 274,659 823,977

Collatz Trajectory (219 steps to reach 1)

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

823,977 2,471,932 1,235,966 617,983 1,853,950 926,975 2,780,926 1,390,463 4,171,390 2,085,695 6,257,086 3,128,543 9,385,630 4,692,815 14,078,446 7,039,223 21,117,670 10,558,835 31,676,506 15,838,253 47,514,760 23,757,380 11,878,690 5,939,345 17,818,036 8,909,018 4,454,509 13,363,528 6,681,764 3,340,882 1,670,441 5,011,324 2,505,662 1,252,831 3,758,494 1,879,247 5,637,742 2,818,871 8,456,614 4,228,307 12,684,922 6,342,461 19,027,384 9,513,692 4,756,846 2,378,423 7,135,270 3,567,635 10,702,906 5,351,453 16,054,360 8,027,180 4,013,590 2,006,795 6,020,386 3,010,193 9,030,580 4,515,290 2,257,645 6,772,936

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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