λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,131,000
3,131,000
23 × 53 × 31 × 101
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 5^3 × 31 × 101
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 7,637,760
Proper Divisor Sum 4,506,760
Digit Sum / Digital Root 8 (Root: 8)
Adjacent Primes #3130997 ← → #3131017

Radix Representation

Decimal 3131000
Binary 1011111100011001111000 (22 bits)
Octal 0o13743170
Hexadecimal 0x2FC678

Divisor Catalog (60 of 64)

1 2 4 5 8 10 20 25 31 40 50 62 100 101 124 125 155 200 202 248 250 310 404 500 505 620 775 808 1,000 1,010 1,240 1,550 2,020 2,525 3,100 3,131 3,875 4,040 5,050 6,200 6,262 7,750 10,100 12,524 12,625 15,500 15,655 20,200 25,048 25,250 31,000 31,310 50,500 62,620 78,275 101,000 125,240 156,550 313,100 391,375

Collatz Trajectory (226 steps to reach 1)

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

3,131,000 1,565,500 782,750 391,375 1,174,126 587,063 1,761,190 880,595 2,641,786 1,320,893 3,962,680 1,981,340 990,670 495,335 1,486,006 743,003 2,229,010 1,114,505 3,343,516 1,671,758 835,879 2,507,638 1,253,819 3,761,458 1,880,729 5,642,188 2,821,094 1,410,547 4,231,642 2,115,821 6,347,464 3,173,732 1,586,866 793,433 2,380,300 1,190,150 595,075 1,785,226 892,613 2,677,840 1,338,920 669,460 334,730 167,365 502,096 251,048 125,524 62,762 31,381 94,144 47,072 23,536 11,768 5,884 2,942 1,471 4,414 2,207 6,622 3,311

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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