λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,978,024
2,978,024
23 × 72 × 71 × 107
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 7^2 × 71 × 107
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 6,648,480
Proper Divisor Sum 3,670,456
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #2978011 ← → #2978033

Radix Representation

Decimal 2978024
Binary 1011010111000011101000 (22 bits)
Octal 0o13270350
Hexadecimal 0x2D70E8

Divisor Catalog (48)

1 2 4 7 8 14 28 49 56 71 98 107 142 196 214 284 392 428 497 568 749 856 994 1,498 1,988 2,996 3,479 3,976 5,243 5,992 6,958 7,597 10,486 13,916 15,194 20,972 27,832 30,388 41,944 53,179 60,776 106,358 212,716 372,253 425,432 744,506 1,489,012 2,978,024

Collatz Trajectory (151 steps to reach 1)

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

2,978,024 1,489,012 744,506 372,253 1,116,760 558,380 279,190 139,595 418,786 209,393 628,180 314,090 157,045 471,136 235,568 117,784 58,892 29,446 14,723 44,170 22,085 66,256 33,128 16,564 8,282 4,141 12,424 6,212 3,106 1,553 4,660 2,330 1,165 3,496 1,748 874 437 1,312 656 328 164 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 #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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