λ
Ratio Atlas
Atlas › Integer Profiles › Node 61,377,918
61,377,918
2 × 3 × 7 × 137 × 10667
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 7 × 137 × 10667
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 141,329,664
Proper Divisor Sum 79,951,746
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #61377917 ← → #61377941

Radix Representation

Decimal 61377918
Binary 11101010001000110101111110 (26 bits)
Octal 0o352106576
Hexadecimal 0x3A88D7E

Divisor Catalog (32)

1 2 3 6 7 14 21 42 137 274 411 822 959 1,918 2,877 5,754 10,667 21,334 32,001 64,002 74,669 149,338 224,007 448,014 1,461,379 2,922,758 4,384,137 8,768,274 10,229,653 20,459,306 30,688,959 61,377,918

Collatz Trajectory (251 steps to reach 1)

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

61,377,918 30,688,959 92,066,878 46,033,439 138,100,318 69,050,159 207,150,478 103,575,239 310,725,718 155,362,859 466,088,578 233,044,289 699,132,868 349,566,434 174,783,217 524,349,652 262,174,826 131,087,413 393,262,240 196,631,120 98,315,560 49,157,780 24,578,890 12,289,445 36,868,336 18,434,168 9,217,084 4,608,542 2,304,271 6,912,814 3,456,407 10,369,222 5,184,611 15,553,834 7,776,917 23,330,752 11,665,376 5,832,688 2,916,344 1,458,172 729,086 364,543 1,093,630 546,815 1,640,446 820,223 2,460,670 1,230,335 3,691,006 1,845,503 5,536,510 2,768,255 8,304,766 4,152,383 12,457,150 6,228,575 18,685,726 9,342,863 28,028,590 14,014,295

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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