λ
Ratio Atlas
Atlas › Integer Profiles › Node 6,461,950
6,461,950
2 × 52 × 11 × 31 × 379
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 5^2 × 11 × 31 × 379
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 13,570,560
Proper Divisor Sum 7,108,610
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #6461947 ← → #6461951

Radix Representation

Decimal 6461950
Binary 11000101001100111111110 (23 bits)
Octal 0o30514776
Hexadecimal 0x6299FE

Divisor Catalog (48)

1 2 5 10 11 22 25 31 50 55 62 110 155 275 310 341 379 550 682 758 775 1,550 1,705 1,895 3,410 3,790 4,169 8,338 8,525 9,475 11,749 17,050 18,950 20,845 23,498 41,690 58,745 104,225 117,490 129,239 208,450 258,478 293,725 587,450 646,195 1,292,390 3,230,975 6,461,950

Collatz Trajectory (147 steps to reach 1)

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

6,461,950 3,230,975 9,692,926 4,846,463 14,539,390 7,269,695 21,809,086 10,904,543 32,713,630 16,356,815 49,070,446 24,535,223 73,605,670 36,802,835 110,408,506 55,204,253 165,612,760 82,806,380 41,403,190 20,701,595 62,104,786 31,052,393 93,157,180 46,578,590 23,289,295 69,867,886 34,933,943 104,801,830 52,400,915 157,202,746 78,601,373 235,804,120 117,902,060 58,951,030 29,475,515 88,426,546 44,213,273 132,639,820 66,319,910 33,159,955 99,479,866 49,739,933 149,219,800 74,609,900 37,304,950 18,652,475 55,957,426 27,978,713 83,936,140 41,968,070 20,984,035 62,952,106 31,476,053 94,428,160 47,214,080 23,607,040 11,803,520 5,901,760 2,950,880 1,475,440

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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