λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,918,500
36,918,500
22 × 53 × 47 × 1571
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 5^3 × 47 × 1571
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 82,397,952
Proper Divisor Sum 45,479,452
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #36918461 ← → #36918521

Radix Representation

Decimal 36918500
Binary 10001100110101010011100100 (26 bits)
Octal 0o214652344
Hexadecimal 0x23354E4

Divisor Catalog (48)

1 2 4 5 10 20 25 47 50 94 100 125 188 235 250 470 500 940 1,175 1,571 2,350 3,142 4,700 5,875 6,284 7,855 11,750 15,710 23,500 31,420 39,275 73,837 78,550 147,674 157,100 196,375 295,348 369,185 392,750 738,370 785,500 1,476,740 1,845,925 3,691,850 7,383,700 9,229,625 18,459,250 36,918,500

Collatz Trajectory (165 steps to reach 1)

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

36,918,500 18,459,250 9,229,625 27,688,876 13,844,438 6,922,219 20,766,658 10,383,329 31,149,988 15,574,994 7,787,497 23,362,492 11,681,246 5,840,623 17,521,870 8,760,935 26,282,806 13,141,403 39,424,210 19,712,105 59,136,316 29,568,158 14,784,079 44,352,238 22,176,119 66,528,358 33,264,179 99,792,538 49,896,269 149,688,808 74,844,404 37,422,202 18,711,101 56,133,304 28,066,652 14,033,326 7,016,663 21,049,990 10,524,995 31,574,986 15,787,493 47,362,480 23,681,240 11,840,620 5,920,310 2,960,155 8,880,466 4,440,233 13,320,700 6,660,350 3,330,175 9,990,526 4,995,263 14,985,790 7,492,895 22,478,686 11,239,343 33,718,030 16,859,015 50,577,046

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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