λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,104,446
8,104,446
2 × 32 × 7 × 131 × 491
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 131 × 491
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 20,262,528
Proper Divisor Sum 12,158,082
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #8104409 ← → #8104451

Radix Representation

Decimal 8104446
Binary 11110111010100111111110 (23 bits)
Octal 0o36724776
Hexadecimal 0x7BA9FE

Divisor Catalog (48)

1 2 3 6 7 9 14 18 21 42 63 126 131 262 393 491 786 917 982 1,179 1,473 1,834 2,358 2,751 2,946 3,437 4,419 5,502 6,874 8,253 8,838 10,311 16,506 20,622 30,933 61,866 64,321 128,642 192,963 385,926 450,247 578,889 900,494 1,157,778 1,350,741 2,701,482 4,052,223 8,104,446

Collatz Trajectory (274 steps to reach 1)

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

8,104,446 4,052,223 12,156,670 6,078,335 18,235,006 9,117,503 27,352,510 13,676,255 41,028,766 20,514,383 61,543,150 30,771,575 92,314,726 46,157,363 138,472,090 69,236,045 207,708,136 103,854,068 51,927,034 25,963,517 77,890,552 38,945,276 19,472,638 9,736,319 29,208,958 14,604,479 43,813,438 21,906,719 65,720,158 32,860,079 98,580,238 49,290,119 147,870,358 73,935,179 221,805,538 110,902,769 332,708,308 166,354,154 83,177,077 249,531,232 124,765,616 62,382,808 31,191,404 15,595,702 7,797,851 23,393,554 11,696,777 35,090,332 17,545,166 8,772,583 26,317,750 13,158,875 39,476,626 19,738,313 59,214,940 29,607,470 14,803,735 44,411,206 22,205,603 66,616,810

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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