λ
Ratio Atlas
Atlas › Integer Profiles › Node 12,901,742
12,901,742
2 × 7 × 17 × 151 × 359
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 7 × 17 × 151 × 359
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 23,639,040
Proper Divisor Sum 10,737,298
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #12901729 ← → #12901747

Radix Representation

Decimal 12901742
Binary 110001001101110101101110 (24 bits)
Octal 0o61156556
Hexadecimal 0xC4DD6E

Divisor Catalog (32)

1 2 7 14 17 34 119 151 238 302 359 718 1,057 2,114 2,513 2,567 5,026 5,134 6,103 12,206 17,969 35,938 42,721 54,209 85,442 108,418 379,463 758,926 921,553 1,843,106 6,450,871 12,901,742

Collatz Trajectory (179 steps to reach 1)

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

12,901,742 6,450,871 19,352,614 9,676,307 29,028,922 14,514,461 43,543,384 21,771,692 10,885,846 5,442,923 16,328,770 8,164,385 24,493,156 12,246,578 6,123,289 18,369,868 9,184,934 4,592,467 13,777,402 6,888,701 20,666,104 10,333,052 5,166,526 2,583,263 7,749,790 3,874,895 11,624,686 5,812,343 17,437,030 8,718,515 26,155,546 13,077,773 39,233,320 19,616,660 9,808,330 4,904,165 14,712,496 7,356,248 3,678,124 1,839,062 919,531 2,758,594 1,379,297 4,137,892 2,068,946 1,034,473 3,103,420 1,551,710 775,855 2,327,566 1,163,783 3,491,350 1,745,675 5,237,026 2,618,513 7,855,540 3,927,770 1,963,885 5,891,656 2,945,828

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 #1,448,561 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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