λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,674,430
3,674,430
2 × 33 × 5 × 31 × 439
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^3 × 5 × 31 × 439
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 10,137,600
Proper Divisor Sum 6,463,170
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3674417 ← → #3674441

Radix Representation

Decimal 3674430
Binary 1110000001000100111110 (22 bits)
Octal 0o16010476
Hexadecimal 0x38113E

Divisor Catalog (60 of 64)

1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 90 93 135 155 186 270 279 310 439 465 558 837 878 930 1,317 1,395 1,674 2,195 2,634 2,790 3,951 4,185 4,390 6,585 7,902 8,370 11,853 13,170 13,609 19,755 23,706 27,218 39,510 40,827 59,265 68,045 81,654 118,530 122,481 136,090 204,135 244,962 367,443 408,270 612,405

Collatz Trajectory (110 steps to reach 1)

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

3,674,430 1,837,215 5,511,646 2,755,823 8,267,470 4,133,735 12,401,206 6,200,603 18,601,810 9,300,905 27,902,716 13,951,358 6,975,679 20,927,038 10,463,519 31,390,558 15,695,279 47,085,838 23,542,919 70,628,758 35,314,379 105,943,138 52,971,569 158,914,708 79,457,354 39,728,677 119,186,032 59,593,016 29,796,508 14,898,254 7,449,127 22,347,382 11,173,691 33,521,074 16,760,537 50,281,612 25,140,806 12,570,403 37,711,210 18,855,605 56,566,816 28,283,408 14,141,704 7,070,852 3,535,426 1,767,713 5,303,140 2,651,570 1,325,785 3,977,356 1,988,678 994,339 2,983,018 1,491,509 4,474,528 2,237,264 1,118,632 559,316 279,658 139,829

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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