λ
Ratio Atlas
Atlas › Integer Profiles › Node 71,007,496
71,007,496
23 × 7 × 83 × 15277
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 7 × 83 × 15277
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 154,002,240
Proper Divisor Sum 82,994,744
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #71007473 ← → #71007533

Radix Representation

Decimal 71007496
Binary 100001110110111110100001000 (27 bits)
Octal 0o416676410
Hexadecimal 0x43B7D08

Divisor Catalog (32)

1 2 4 7 8 14 28 56 83 166 332 581 664 1,162 2,324 4,648 15,277 30,554 61,108 106,939 122,216 213,878 427,756 855,512 1,267,991 2,535,982 5,071,964 8,875,937 10,143,928 17,751,874 35,503,748 71,007,496

Collatz Trajectory (228 steps to reach 1)

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

71,007,496 35,503,748 17,751,874 8,875,937 26,627,812 13,313,906 6,656,953 19,970,860 9,985,430 4,992,715 14,978,146 7,489,073 22,467,220 11,233,610 5,616,805 16,850,416 8,425,208 4,212,604 2,106,302 1,053,151 3,159,454 1,579,727 4,739,182 2,369,591 7,108,774 3,554,387 10,663,162 5,331,581 15,994,744 7,997,372 3,998,686 1,999,343 5,998,030 2,999,015 8,997,046 4,498,523 13,495,570 6,747,785 20,243,356 10,121,678 5,060,839 15,182,518 7,591,259 22,773,778 11,386,889 34,160,668 17,080,334 8,540,167 25,620,502 12,810,251 38,430,754 19,215,377 57,646,132 28,823,066 14,411,533 43,234,600 21,617,300 10,808,650 5,404,325 16,212,976

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #8,365,252 Feeder #1,448,561 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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