λ
Ratio Atlas
Atlas › Integer Profiles › Node 76,566,050
76,566,050
2 × 52 × 11 × 73 × 1907
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 5^2 × 11 × 73 × 1907
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 157,570,272
Proper Divisor Sum 81,004,222
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #76566043 ← → #76566071

Radix Representation

Decimal 76566050
Binary 100100100000100111000100010 (27 bits)
Octal 0o444047042
Hexadecimal 0x4904E22

Divisor Catalog (48)

1 2 5 10 11 22 25 50 55 73 110 146 275 365 550 730 803 1,606 1,825 1,907 3,650 3,814 4,015 8,030 9,535 19,070 20,075 20,977 40,150 41,954 47,675 95,350 104,885 139,211 209,770 278,422 524,425 696,055 1,048,850 1,392,110 1,531,321 3,062,642 3,480,275 6,960,550 7,656,605 15,313,210 38,283,025 76,566,050

Collatz Trajectory (241 steps to reach 1)

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

76,566,050 38,283,025 114,849,076 57,424,538 28,712,269 86,136,808 43,068,404 21,534,202 10,767,101 32,301,304 16,150,652 8,075,326 4,037,663 12,112,990 6,056,495 18,169,486 9,084,743 27,254,230 13,627,115 40,881,346 20,440,673 61,322,020 30,661,010 15,330,505 45,991,516 22,995,758 11,497,879 34,493,638 17,246,819 51,740,458 25,870,229 77,610,688 38,805,344 19,402,672 9,701,336 4,850,668 2,425,334 1,212,667 3,638,002 1,819,001 5,457,004 2,728,502 1,364,251 4,092,754 2,046,377 6,139,132 3,069,566 1,534,783 4,604,350 2,302,175 6,906,526 3,453,263 10,359,790 5,179,895 15,539,686 7,769,843 23,309,530 11,654,765 34,964,296 17,482,148

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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