λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,944,358
36,944,358
2 × 3 × 11 × 131 × 4273
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 11 × 131 × 4273
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 81,240,192
Proper Divisor Sum 44,295,834
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #36944357 ← → #36944359

Radix Representation

Decimal 36944358
Binary 10001100111011100111100110 (26 bits)
Octal 0o214734746
Hexadecimal 0x233B9E6

Divisor Catalog (32)

1 2 3 6 11 22 33 66 131 262 393 786 1,441 2,882 4,273 4,323 8,546 8,646 12,819 25,638 47,003 94,006 141,009 282,018 559,763 1,119,526 1,679,289 3,358,578 6,157,393 12,314,786 18,472,179 36,944,358

Collatz Trajectory (214 steps to reach 1)

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

36,944,358 18,472,179 55,416,538 27,708,269 83,124,808 41,562,404 20,781,202 10,390,601 31,171,804 15,585,902 7,792,951 23,378,854 11,689,427 35,068,282 17,534,141 52,602,424 26,301,212 13,150,606 6,575,303 19,725,910 9,862,955 29,588,866 14,794,433 44,383,300 22,191,650 11,095,825 33,287,476 16,643,738 8,321,869 24,965,608 12,482,804 6,241,402 3,120,701 9,362,104 4,681,052 2,340,526 1,170,263 3,510,790 1,755,395 5,266,186 2,633,093 7,899,280 3,949,640 1,974,820 987,410 493,705 1,481,116 740,558 370,279 1,110,838 555,419 1,666,258 833,129 2,499,388 1,249,694 624,847 1,874,542 937,271 2,811,814 1,405,907

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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