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Ratio Atlas
Atlas › Integer Profiles › Node 10,004,320
10,004,320
25 × 5 × 31 × 2017
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 5 × 31 × 2017
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 24,409,728
Proper Divisor Sum 14,405,408
Digit Sum / Digital Root 10 (Root: 1)
Adjacent Primes #10004311 ← → #10004329

Radix Representation

Decimal 10004320
Binary 100110001010011101100000 (24 bits)
Octal 0o46123540
Hexadecimal 0x98A760

Divisor Catalog (48)

1 2 4 5 8 10 16 20 31 32 40 62 80 124 155 160 248 310 496 620 992 1,240 2,017 2,480 4,034 4,960 8,068 10,085 16,136 20,170 32,272 40,340 62,527 64,544 80,680 125,054 161,360 250,108 312,635 322,720 500,216 625,270 1,000,432 1,250,540 2,000,864 2,501,080 5,002,160 10,004,320

Collatz Trajectory (83 steps to reach 1)

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

10,004,320 5,002,160 2,501,080 1,250,540 625,270 312,635 937,906 468,953 1,406,860 703,430 351,715 1,055,146 527,573 1,582,720 791,360 395,680 197,840 98,920 49,460 24,730 12,365 37,096 18,548 9,274 4,637 13,912 6,956 3,478 1,739 5,218 2,609 7,828 3,914 1,957 5,872 2,936 1,468 734 367 1,102 551 1,654 827 2,482 1,241 3,724 1,862 931 2,794 1,397 4,192 2,096 1,048 524 262 131 394 197 592 296

Active Feeder Network

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

Feeder #6,449,649 Feeder #6,177,699 Feeder #4,494,486 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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