λ
Ratio Atlas
Atlas › Integer Profiles › Node 7,108,740
7,108,740
22 × 32 × 5 × 73 × 541
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 73 × 541
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 21,898,968
Proper Divisor Sum 14,790,228
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #7108723 ← → #7108763

Radix Representation

Decimal 7108740
Binary 11011000111100010000100 (23 bits)
Octal 0o33074204
Hexadecimal 0x6C7884

Divisor Catalog (60 of 72)

1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 73 90 146 180 219 292 365 438 541 657 730 876 1,082 1,095 1,314 1,460 1,623 2,164 2,190 2,628 2,705 3,246 3,285 4,380 4,869 5,410 6,492 6,570 8,115 9,738 10,820 13,140 16,230 19,476 24,345 32,460 39,493 48,690 78,986 97,380 118,479 157,972 197,465 236,958

Collatz Trajectory (297 steps to reach 1)

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

7,108,740 3,554,370 1,777,185 5,331,556 2,665,778 1,332,889 3,998,668 1,999,334 999,667 2,999,002 1,499,501 4,498,504 2,249,252 1,124,626 562,313 1,686,940 843,470 421,735 1,265,206 632,603 1,897,810 948,905 2,846,716 1,423,358 711,679 2,135,038 1,067,519 3,202,558 1,601,279 4,803,838 2,401,919 7,205,758 3,602,879 10,808,638 5,404,319 16,212,958 8,106,479 24,319,438 12,159,719 36,479,158 18,239,579 54,718,738 27,359,369 82,078,108 41,039,054 20,519,527 61,558,582 30,779,291 92,337,874 46,168,937 138,506,812 69,253,406 34,626,703 103,880,110 51,940,055 155,820,166 77,910,083 233,730,250 116,865,125 350,595,376

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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