λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,912,270
36,912,270
2 × 3 × 5 × 17 × 157 × 461
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 5 × 17 × 157 × 461
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 94,602,816
Proper Divisor Sum 57,690,546
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #36912257 ← → #36912299

Radix Representation

Decimal 36912270
Binary 10001100110011110010001110 (26 bits)
Octal 0o214636216
Hexadecimal 0x2333C8E

Divisor Catalog (60 of 64)

1 2 3 5 6 10 15 17 30 34 51 85 102 157 170 255 314 461 471 510 785 922 942 1,383 1,570 2,305 2,355 2,669 2,766 4,610 4,710 5,338 6,915 7,837 8,007 13,345 13,830 15,674 16,014 23,511 26,690 39,185 40,035 47,022 72,377 78,370 80,070 117,555 144,754 217,131 235,110 361,885 434,262 723,770 1,085,655 1,230,409 2,171,310 2,460,818 3,691,227 6,152,045

Collatz Trajectory (188 steps to reach 1)

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

36,912,270 18,456,135 55,368,406 27,684,203 83,052,610 41,526,305 124,578,916 62,289,458 31,144,729 93,434,188 46,717,094 23,358,547 70,075,642 35,037,821 105,113,464 52,556,732 26,278,366 13,139,183 39,417,550 19,708,775 59,126,326 29,563,163 88,689,490 44,344,745 133,034,236 66,517,118 33,258,559 99,775,678 49,887,839 149,663,518 74,831,759 224,495,278 112,247,639 336,742,918 168,371,459 505,114,378 252,557,189 757,671,568 378,835,784 189,417,892 94,708,946 47,354,473 142,063,420 71,031,710 35,515,855 106,547,566 53,273,783 159,821,350 79,910,675 239,732,026 119,866,013 359,598,040 179,799,020 89,899,510 44,949,755 134,849,266 67,424,633 202,273,900 101,136,950 50,568,475

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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