λ
Ratio Atlas
Atlas › Integer Profiles › Node 61,310,106
61,310,106
2 × 32 × 11 × 13 × 23819
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 11 × 13 × 23819
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 156,068,640
Proper Divisor Sum 94,758,534
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #61310101 ← → #61310107

Radix Representation

Decimal 61310106
Binary 11101001111000010010011010 (26 bits)
Octal 0o351702232
Hexadecimal 0x3A7849A

Divisor Catalog (48)

1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 143 198 234 286 429 858 1,287 2,574 23,819 47,638 71,457 142,914 214,371 262,009 309,647 428,742 524,018 619,294 786,027 928,941 1,572,054 1,857,882 2,358,081 2,786,823 3,406,117 4,716,162 5,573,646 6,812,234 10,218,351 20,436,702 30,655,053 61,310,106

Collatz Trajectory (251 steps to reach 1)

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

61,310,106 30,655,053 91,965,160 45,982,580 22,991,290 11,495,645 34,486,936 17,243,468 8,621,734 4,310,867 12,932,602 6,466,301 19,398,904 9,699,452 4,849,726 2,424,863 7,274,590 3,637,295 10,911,886 5,455,943 16,367,830 8,183,915 24,551,746 12,275,873 36,827,620 18,413,810 9,206,905 27,620,716 13,810,358 6,905,179 20,715,538 10,357,769 31,073,308 15,536,654 7,768,327 23,304,982 11,652,491 34,957,474 17,478,737 52,436,212 26,218,106 13,109,053 39,327,160 19,663,580 9,831,790 4,915,895 14,747,686 7,373,843 22,121,530 11,060,765 33,182,296 16,591,148 8,295,574 4,147,787 12,443,362 6,221,681 18,665,044 9,332,522 4,666,261 13,998,784

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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