λ
Ratio Atlas
Atlas › Integer Profiles › Node 17,970,710
17,970,710
2 × 5 × 41 × 53 × 827
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 5 × 41 × 53 × 827
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 33,802,272
Proper Divisor Sum 15,831,562
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #17970709 ← → #17970737

Radix Representation

Decimal 17970710
Binary 1000100100011011000010110 (25 bits)
Octal 0o104433026
Hexadecimal 0x1123616

Divisor Catalog (32)

1 2 5 10 41 53 82 106 205 265 410 530 827 1,654 2,173 4,135 4,346 8,270 10,865 21,730 33,907 43,831 67,814 87,662 169,535 219,155 339,070 438,310 1,797,071 3,594,142 8,985,355 17,970,710

Collatz Trajectory (164 steps to reach 1)

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

17,970,710 8,985,355 26,956,066 13,478,033 40,434,100 20,217,050 10,108,525 30,325,576 15,162,788 7,581,394 3,790,697 11,372,092 5,686,046 2,843,023 8,529,070 4,264,535 12,793,606 6,396,803 19,190,410 9,595,205 28,785,616 14,392,808 7,196,404 3,598,202 1,799,101 5,397,304 2,698,652 1,349,326 674,663 2,023,990 1,011,995 3,035,986 1,517,993 4,553,980 2,276,990 1,138,495 3,415,486 1,707,743 5,123,230 2,561,615 7,684,846 3,842,423 11,527,270 5,763,635 17,290,906 8,645,453 25,936,360 12,968,180 6,484,090 3,242,045 9,726,136 4,863,068 2,431,534 1,215,767 3,647,302 1,823,651 5,470,954 2,735,477 8,206,432 4,103,216

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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