λ
Ratio Atlas
Atlas › Integer Profiles › Node 10,072,370
10,072,370
2 × 5 × 7 × 11 × 103 × 127
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 5 × 7 × 11 × 103 × 127
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 23,003,136
Proper Divisor Sum 12,930,766
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #10072351 ← → #10072373

Radix Representation

Decimal 10072370
Binary 100110011011000100110010 (24 bits)
Octal 0o46330462
Hexadecimal 0x99B132

Divisor Catalog (60 of 64)

1 2 5 7 10 11 14 22 35 55 70 77 103 110 127 154 206 254 385 515 635 721 770 889 1,030 1,133 1,270 1,397 1,442 1,778 2,266 2,794 3,605 4,445 5,665 6,985 7,210 7,931 8,890 9,779 11,330 13,081 13,970 15,862 19,558 26,162 39,655 48,895 65,405 79,310 91,567 97,790 130,810 143,891 183,134 287,782 457,835 719,455 915,670 1,007,237

Collatz Trajectory (243 steps to reach 1)

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

10,072,370 5,036,185 15,108,556 7,554,278 3,777,139 11,331,418 5,665,709 16,997,128 8,498,564 4,249,282 2,124,641 6,373,924 3,186,962 1,593,481 4,780,444 2,390,222 1,195,111 3,585,334 1,792,667 5,378,002 2,689,001 8,067,004 4,033,502 2,016,751 6,050,254 3,025,127 9,075,382 4,537,691 13,613,074 6,806,537 20,419,612 10,209,806 5,104,903 15,314,710 7,657,355 22,972,066 11,486,033 34,458,100 17,229,050 8,614,525 25,843,576 12,921,788 6,460,894 3,230,447 9,691,342 4,845,671 14,537,014 7,268,507 21,805,522 10,902,761 32,708,284 16,354,142 8,177,071 24,531,214 12,265,607 36,796,822 18,398,411 55,195,234 27,597,617 82,792,852

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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