λ
Ratio Atlas
Atlas › Integer Profiles › Node 847,728
847,728
24 × 32 × 7 × 292
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3^2 × 7 × 29^2
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 90
Divisor Sum (σ) 2,808,104
Proper Divisor Sum 1,960,376
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #847727 ← → #847729

Radix Representation

Decimal 847728
Binary 11001110111101110000 (20 bits)
Octal 0o3167560
Hexadecimal 0xCEF70

Divisor Catalog (60 of 90)

1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 29 36 42 48 56 58 63 72 84 87 112 116 126 144 168 174 203 232 252 261 336 348 406 464 504 522 609 696 812 841 1,008 1,044 1,218 1,392 1,624 1,682 1,827 2,088 2,436 2,523 3,248 3,364 3,654 4,176 4,872

Collatz Trajectory (56 steps to reach 1)

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

847,728 423,864 211,932 105,966 52,983 158,950 79,475 238,426 119,213 357,640 178,820 89,410 44,705 134,116 67,058 33,529 100,588 50,294 25,147 75,442 37,721 113,164 56,582 28,291 84,874 42,437 127,312 63,656 31,828 15,914 7,957 23,872 11,936 5,968 2,984 1,492 746 373 1,120 560 280 140 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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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