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Ratio Atlas
Atlas › Integer Profiles › Node 2,968,064
2,968,064
29 × 11 × 17 × 31
Abundant Even Composite

Prime Factor Structure

Factorization String 2^9 × 11 × 17 × 31
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 7,070,976
Proper Divisor Sum 4,102,912
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #2968057 ← → #2968099

Radix Representation

Decimal 2968064
Binary 1011010100101000000000 (22 bits)
Octal 0o13245000
Hexadecimal 0x2D4A00

Divisor Catalog (60 of 80)

1 2 4 8 11 16 17 22 31 32 34 44 62 64 68 88 124 128 136 176 187 248 256 272 341 352 374 496 512 527 544 682 704 748 992 1,054 1,088 1,364 1,408 1,496 1,984 2,108 2,176 2,728 2,816 2,992 3,968 4,216 4,352 5,456 5,632 5,797 5,984 7,936 8,432 8,704 10,912 11,594 11,968 15,872

Collatz Trajectory (151 steps to reach 1)

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

2,968,064 1,484,032 742,016 371,008 185,504 92,752 46,376 23,188 11,594 5,797 17,392 8,696 4,348 2,174 1,087 3,262 1,631 4,894 2,447 7,342 3,671 11,014 5,507 16,522 8,261 24,784 12,392 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 71 214 107 322 161 484 242 121 364 182 91

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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