λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,918,140
36,918,140
22 × 5 × 7 × 19 × 13879
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 19 × 13879
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 93,273,600
Proper Divisor Sum 56,355,460
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #36918109 ← → #36918143

Radix Representation

Decimal 36918140
Binary 10001100110101001101111100 (26 bits)
Octal 0o214651574
Hexadecimal 0x233537C

Divisor Catalog (48)

1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 380 532 665 1,330 2,660 13,879 27,758 55,516 69,395 97,153 138,790 194,306 263,701 277,580 388,612 485,765 527,402 971,530 1,054,804 1,318,505 1,845,907 1,943,060 2,637,010 3,691,814 5,274,020 7,383,628 9,229,535 18,459,070 36,918,140

Collatz Trajectory (165 steps to reach 1)

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

36,918,140 18,459,070 9,229,535 27,688,606 13,844,303 41,532,910 20,766,455 62,299,366 31,149,683 93,449,050 46,724,525 140,173,576 70,086,788 35,043,394 17,521,697 52,565,092 26,282,546 13,141,273 39,423,820 19,711,910 9,855,955 29,567,866 14,783,933 44,351,800 22,175,900 11,087,950 5,543,975 16,631,926 8,315,963 24,947,890 12,473,945 37,421,836 18,710,918 9,355,459 28,066,378 14,033,189 42,099,568 21,049,784 10,524,892 5,262,446 2,631,223 7,893,670 3,946,835 11,840,506 5,920,253 17,760,760 8,880,380 4,440,190 2,220,095 6,660,286 3,330,143 9,990,430 4,995,215 14,985,646 7,492,823 22,478,470 11,239,235 33,717,706 16,858,853 50,576,560

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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