λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,762,045
3,762,045
34 × 5 × 7 × 1327
Abundant Odd Composite

Prime Factor Structure

Factorization String 3^4 × 5 × 7 × 1327
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 7,713,024
Proper Divisor Sum 3,950,979
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3762007 ← → #3762047

Radix Representation

Decimal 3762045
Binary 1110010110011101111101 (22 bits)
Octal 0o16263575
Hexadecimal 0x39677D

Divisor Catalog (40)

1 3 5 7 9 15 21 27 35 45 63 81 105 135 189 315 405 567 945 1,327 2,835 3,981 6,635 9,289 11,943 19,905 27,867 35,829 46,445 59,715 83,601 107,487 139,335 179,145 250,803 418,005 537,435 752,409 1,254,015 3,762,045

Collatz Trajectory (185 steps to reach 1)

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

3,762,045 11,286,136 5,643,068 2,821,534 1,410,767 4,232,302 2,116,151 6,348,454 3,174,227 9,522,682 4,761,341 14,284,024 7,142,012 3,571,006 1,785,503 5,356,510 2,678,255 8,034,766 4,017,383 12,052,150 6,026,075 18,078,226 9,039,113 27,117,340 13,558,670 6,779,335 20,338,006 10,169,003 30,507,010 15,253,505 45,760,516 22,880,258 11,440,129 34,320,388 17,160,194 8,580,097 25,740,292 12,870,146 6,435,073 19,305,220 9,652,610 4,826,305 14,478,916 7,239,458 3,619,729 10,859,188 5,429,594 2,714,797 8,144,392 4,072,196 2,036,098 1,018,049 3,054,148 1,527,074 763,537 2,290,612 1,145,306 572,653 1,717,960 858,980

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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