λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,918,756
36,918,756
22 × 32 × 72 × 20929
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^2 × 7^2 × 20929
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 54
Divisor Sum (σ) 108,563,910
Proper Divisor Sum 71,645,154
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #36918743 ← → #36918757

Radix Representation

Decimal 36918756
Binary 10001100110101010111100100 (26 bits)
Octal 0o214652744
Hexadecimal 0x23355E4

Divisor Catalog (54)

1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1,764 20,929 41,858 62,787 83,716 125,574 146,503 188,361 251,148 293,006 376,722 439,509 586,012 753,444 879,018 1,025,521 1,318,527 1,758,036 2,051,042 2,637,054 3,076,563 4,102,084 5,274,108 6,153,126 9,229,689 12,306,252 18,459,378 36,918,756

Collatz Trajectory (333 steps to reach 1)

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

36,918,756 18,459,378 9,229,689 27,689,068 13,844,534 6,922,267 20,766,802 10,383,401 31,150,204 15,575,102 7,787,551 23,362,654 11,681,327 35,043,982 17,521,991 52,565,974 26,282,987 78,848,962 39,424,481 118,273,444 59,136,722 29,568,361 88,705,084 44,352,542 22,176,271 66,528,814 33,264,407 99,793,222 49,896,611 149,689,834 74,844,917 224,534,752 112,267,376 56,133,688 28,066,844 14,033,422 7,016,711 21,050,134 10,525,067 31,575,202 15,787,601 47,362,804 23,681,402 11,840,701 35,522,104 17,761,052 8,880,526 4,440,263 13,320,790 6,660,395 19,981,186 9,990,593 29,971,780 14,985,890 7,492,945 22,478,836 11,239,418 5,619,709 16,859,128 8,429,564

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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