λ
Ratio Atlas
Atlas › Integer Profiles › Node 7,915,840
7,915,840
26 × 5 × 29 × 853
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 5 × 29 × 853
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 19,522,440
Proper Divisor Sum 11,606,600
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #7915801 ← → #7915847

Radix Representation

Decimal 7915840
Binary 11110001100100101000000 (23 bits)
Octal 0o36144500
Hexadecimal 0x78C940

Divisor Catalog (56)

1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 145 160 232 290 320 464 580 853 928 1,160 1,706 1,856 2,320 3,412 4,265 4,640 6,824 8,530 9,280 13,648 17,060 24,737 27,296 34,120 49,474 54,592 68,240 98,948 123,685 136,480 197,896 247,370 272,960 395,792 494,740 791,584 989,480 1,583,168 1,978,960 3,957,920 7,915,840

Collatz Trajectory (155 steps to reach 1)

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

7,915,840 3,957,920 1,978,960 989,480 494,740 247,370 123,685 371,056 185,528 92,764 46,382 23,191 69,574 34,787 104,362 52,181 156,544 78,272 39,136 19,568 9,784 4,892 2,446 1,223 3,670 1,835 5,506 2,753 8,260 4,130 2,065 6,196 3,098 1,549 4,648 2,324 1,162 581 1,744 872 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484 242

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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