λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,918,546
36,918,546
2 × 3 × 7 × 173 × 5081
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 7 × 173 × 5081
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 84,889,728
Proper Divisor Sum 47,971,182
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #36918527 ← → #36918559

Radix Representation

Decimal 36918546
Binary 10001100110101010100010010 (26 bits)
Octal 0o214652422
Hexadecimal 0x2335512

Divisor Catalog (32)

1 2 3 6 7 14 21 42 173 346 519 1,038 1,211 2,422 3,633 5,081 7,266 10,162 15,243 30,486 35,567 71,134 106,701 213,402 879,013 1,758,026 2,637,039 5,274,078 6,153,091 12,306,182 18,459,273 36,918,546

Collatz Trajectory (196 steps to reach 1)

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

36,918,546 18,459,273 55,377,820 27,688,910 13,844,455 41,533,366 20,766,683 62,300,050 31,150,025 93,450,076 46,725,038 23,362,519 70,087,558 35,043,779 105,131,338 52,565,669 157,697,008 78,848,504 39,424,252 19,712,126 9,856,063 29,568,190 14,784,095 44,352,286 22,176,143 66,528,430 33,264,215 99,792,646 49,896,323 149,688,970 74,844,485 224,533,456 112,266,728 56,133,364 28,066,682 14,033,341 42,100,024 21,050,012 10,525,006 5,262,503 15,787,510 7,893,755 23,681,266 11,840,633 35,521,900 17,760,950 8,880,475 26,641,426 13,320,713 39,962,140 19,981,070 9,990,535 29,971,606 14,985,803 44,957,410 22,478,705 67,436,116 33,718,058 16,859,029 50,577,088

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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