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Ratio Atlas
Atlas › Integer Profiles › Node 61,377,968
61,377,968
24 × 37 × 199 × 521
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 37 × 199 × 521
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 122,983,200
Proper Divisor Sum 61,605,232
Digit Sum / Digital Root 47 (Root: 2)
Adjacent Primes #61377947 ← → #61377983

Radix Representation

Decimal 61377968
Binary 11101010001000110110110000 (26 bits)
Octal 0o352106660
Hexadecimal 0x3A88DB0

Divisor Catalog (40)

1 2 4 8 16 37 74 148 199 296 398 521 592 796 1,042 1,592 2,084 3,184 4,168 7,363 8,336 14,726 19,277 29,452 38,554 58,904 77,108 103,679 117,808 154,216 207,358 308,432 414,716 829,432 1,658,864 3,836,123 7,672,246 15,344,492 30,688,984 61,377,968

Collatz Trajectory (251 steps to reach 1)

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

61,377,968 30,688,984 15,344,492 7,672,246 3,836,123 11,508,370 5,754,185 17,262,556 8,631,278 4,315,639 12,946,918 6,473,459 19,420,378 9,710,189 29,130,568 14,565,284 7,282,642 3,641,321 10,923,964 5,461,982 2,730,991 8,192,974 4,096,487 12,289,462 6,144,731 18,434,194 9,217,097 27,651,292 13,825,646 6,912,823 20,738,470 10,369,235 31,107,706 15,553,853 46,661,560 23,330,780 11,665,390 5,832,695 17,498,086 8,749,043 26,247,130 13,123,565 39,370,696 19,685,348 9,842,674 4,921,337 14,764,012 7,382,006 3,691,003 11,073,010 5,536,505 16,609,516 8,304,758 4,152,379 12,457,138 6,228,569 18,685,708 9,342,854 4,671,427 14,014,282

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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