λ
Ratio Atlas
Atlas › Integer Profiles › Node 57,766,566
57,766,566
2 × 3 × 11 × 132 × 5179
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 11 × 13^2 × 5179
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 136,503,360
Proper Divisor Sum 78,736,794
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #57766549 ← → #57766567

Radix Representation

Decimal 57766566
Binary 11011100010111001010100110 (26 bits)
Octal 0o334271246
Hexadecimal 0x37172A6

Divisor Catalog (48)

1 2 3 6 11 13 22 26 33 39 66 78 143 169 286 338 429 507 858 1,014 1,859 3,718 5,179 5,577 10,358 11,154 15,537 31,074 56,969 67,327 113,938 134,654 170,907 201,981 341,814 403,962 740,597 875,251 1,481,194 1,750,502 2,221,791 2,625,753 4,443,582 5,251,506 9,627,761 19,255,522 28,883,283 57,766,566

Collatz Trajectory (238 steps to reach 1)

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

57,766,566 28,883,283 86,649,850 43,324,925 129,974,776 64,987,388 32,493,694 16,246,847 48,740,542 24,370,271 73,110,814 36,555,407 109,666,222 54,833,111 164,499,334 82,249,667 246,749,002 123,374,501 370,123,504 185,061,752 92,530,876 46,265,438 23,132,719 69,398,158 34,699,079 104,097,238 52,048,619 156,145,858 78,072,929 234,218,788 117,109,394 58,554,697 175,664,092 87,832,046 43,916,023 131,748,070 65,874,035 197,622,106 98,811,053 296,433,160 148,216,580 74,108,290 37,054,145 111,162,436 55,581,218 27,790,609 83,371,828 41,685,914 20,842,957 62,528,872 31,264,436 15,632,218 7,816,109 23,448,328 11,724,164 5,862,082 2,931,041 8,793,124 4,396,562 2,198,281

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
← Previous Integer #57,766,565 Browse Full Index Next Integer #57,766,567 →