λ
Ratio Atlas
Atlas › Integer Profiles › Node 61,377,942
61,377,942
2 × 3 × 192 × 43 × 659
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 19^2 × 43 × 659
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 132,770,880
Proper Divisor Sum 71,392,938
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #61377941 ← → #61377947

Radix Representation

Decimal 61377942
Binary 11101010001000110110010110 (26 bits)
Octal 0o352106626
Hexadecimal 0x3A88D96

Divisor Catalog (48)

1 2 3 6 19 38 43 57 86 114 129 258 361 659 722 817 1,083 1,318 1,634 1,977 2,166 2,451 3,954 4,902 12,521 15,523 25,042 28,337 31,046 37,563 46,569 56,674 75,126 85,011 93,138 170,022 237,899 475,798 538,403 713,697 1,076,806 1,427,394 1,615,209 3,230,418 10,229,657 20,459,314 30,688,971 61,377,942

Collatz Trajectory (251 steps to reach 1)

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

61,377,942 30,688,971 92,066,914 46,033,457 138,100,372 69,050,186 34,525,093 103,575,280 51,787,640 25,893,820 12,946,910 6,473,455 19,420,366 9,710,183 29,130,550 14,565,275 43,695,826 21,847,913 65,543,740 32,771,870 16,385,935 49,157,806 24,578,903 73,736,710 36,868,355 110,605,066 55,302,533 165,907,600 82,953,800 41,476,900 20,738,450 10,369,225 31,107,676 15,553,838 7,776,919 23,330,758 11,665,379 34,996,138 17,498,069 52,494,208 26,247,104 13,123,552 6,561,776 3,280,888 1,640,444 820,222 410,111 1,230,334 615,167 1,845,502 922,751 2,768,254 1,384,127 4,152,382 2,076,191 6,228,574 3,114,287 9,342,862 4,671,431 14,014,294

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #1,448,561 Feeder #6,970,568 Feeder #2,947,453 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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