λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,765,846
9,765,846
2 × 34 × 23 × 2621
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^4 × 23 × 2621
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 22,842,864
Proper Divisor Sum 13,077,018
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #9765841 ← → #9765851

Radix Representation

Decimal 9765846
Binary 100101010000001111010110 (24 bits)
Octal 0o45201726
Hexadecimal 0x9503D6

Divisor Catalog (40)

1 2 3 6 9 18 23 27 46 54 69 81 138 162 207 414 621 1,242 1,863 2,621 3,726 5,242 7,863 15,726 23,589 47,178 60,283 70,767 120,566 141,534 180,849 212,301 361,698 424,602 542,547 1,085,094 1,627,641 3,255,282 4,882,923 9,765,846

Collatz Trajectory (119 steps to reach 1)

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

9,765,846 4,882,923 14,648,770 7,324,385 21,973,156 10,986,578 5,493,289 16,479,868 8,239,934 4,119,967 12,359,902 6,179,951 18,539,854 9,269,927 27,809,782 13,904,891 41,714,674 20,857,337 62,572,012 31,286,006 15,643,003 46,929,010 23,464,505 70,393,516 35,196,758 17,598,379 52,795,138 26,397,569 79,192,708 39,596,354 19,798,177 59,394,532 29,697,266 14,848,633 44,545,900 22,272,950 11,136,475 33,409,426 16,704,713 50,114,140 25,057,070 12,528,535 37,585,606 18,792,803 56,378,410 28,189,205 84,567,616 42,283,808 21,141,904 10,570,952 5,285,476 2,642,738 1,321,369 3,964,108 1,982,054 991,027 2,973,082 1,486,541 4,459,624 2,229,812

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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