λ
Ratio Atlas
Atlas › Integer Profiles › Node 7,962,012
7,962,012
22 × 32 × 67 × 3301
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^2 × 67 × 3301
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 20,432,776
Proper Divisor Sum 12,470,764
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #7961999 ← → #7962013

Radix Representation

Decimal 7962012
Binary 11110010111110110011100 (23 bits)
Octal 0o36276634
Hexadecimal 0x797D9C

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 67 134 201 268 402 603 804 1,206 2,412 3,301 6,602 9,903 13,204 19,806 29,709 39,612 59,418 118,836 221,167 442,334 663,501 884,668 1,327,002 1,990,503 2,654,004 3,981,006 7,962,012

Collatz Trajectory (173 steps to reach 1)

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

7,962,012 3,981,006 1,990,503 5,971,510 2,985,755 8,957,266 4,478,633 13,435,900 6,717,950 3,358,975 10,076,926 5,038,463 15,115,390 7,557,695 22,673,086 11,336,543 34,009,630 17,004,815 51,014,446 25,507,223 76,521,670 38,260,835 114,782,506 57,391,253 172,173,760 86,086,880 43,043,440 21,521,720 10,760,860 5,380,430 2,690,215 8,070,646 4,035,323 12,105,970 6,052,985 18,158,956 9,079,478 4,539,739 13,619,218 6,809,609 20,428,828 10,214,414 5,107,207 15,321,622 7,660,811 22,982,434 11,491,217 34,473,652 17,236,826 8,618,413 25,855,240 12,927,620 6,463,810 3,231,905 9,695,716 4,847,858 2,423,929 7,271,788 3,635,894 1,817,947

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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