λ
Ratio Atlas
Atlas › Integer Profiles › Node 61,344,280
61,344,280
23 × 5 × 29 × 52883
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 5 × 29 × 52883
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 142,786,800
Proper Divisor Sum 81,442,520
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #61344271 ← → #61344281

Radix Representation

Decimal 61344280
Binary 11101010000000101000011000 (26 bits)
Octal 0o352005030
Hexadecimal 0x3A80A18

Divisor Catalog (32)

1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1,160 52,883 105,766 211,532 264,415 423,064 528,830 1,057,660 1,533,607 2,115,320 3,067,214 6,134,428 7,668,035 12,268,856 15,336,070 30,672,140 61,344,280

Collatz Trajectory (251 steps to reach 1)

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

61,344,280 30,672,140 15,336,070 7,668,035 23,004,106 11,502,053 34,506,160 17,253,080 8,626,540 4,313,270 2,156,635 6,469,906 3,234,953 9,704,860 4,852,430 2,426,215 7,278,646 3,639,323 10,917,970 5,458,985 16,376,956 8,188,478 4,094,239 12,282,718 6,141,359 18,424,078 9,212,039 27,636,118 13,818,059 41,454,178 20,727,089 62,181,268 31,090,634 15,545,317 46,635,952 23,317,976 11,658,988 5,829,494 2,914,747 8,744,242 4,372,121 13,116,364 6,558,182 3,279,091 9,837,274 4,918,637 14,755,912 7,377,956 3,688,978 1,844,489 5,533,468 2,766,734 1,383,367 4,150,102 2,075,051 6,225,154 3,112,577 9,337,732 4,668,866 2,334,433

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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