λ
Ratio Atlas
Atlas › Integer Profiles › Node 71,007,270
71,007,270
2 × 3 × 5 × 67 × 35327
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 5 × 67 × 35327
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 172,965,888
Proper Divisor Sum 101,958,618
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #71007269 ← → #71007281

Radix Representation

Decimal 71007270
Binary 100001110110111110000100110 (27 bits)
Octal 0o416676046
Hexadecimal 0x43B7C26

Divisor Catalog (32)

1 2 3 5 6 10 15 30 67 134 201 335 402 670 1,005 2,010 35,327 70,654 105,981 176,635 211,962 353,270 529,905 1,059,810 2,366,909 4,733,818 7,100,727 11,834,545 14,201,454 23,669,090 35,503,635 71,007,270

Collatz Trajectory (308 steps to reach 1)

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

71,007,270 35,503,635 106,510,906 53,255,453 159,766,360 79,883,180 39,941,590 19,970,795 59,912,386 29,956,193 89,868,580 44,934,290 22,467,145 67,401,436 33,700,718 16,850,359 50,551,078 25,275,539 75,826,618 37,913,309 113,739,928 56,869,964 28,434,982 14,217,491 42,652,474 21,326,237 63,978,712 31,989,356 15,994,678 7,997,339 23,992,018 11,996,009 35,988,028 17,994,014 8,997,007 26,991,022 13,495,511 40,486,534 20,243,267 60,729,802 30,364,901 91,094,704 45,547,352 22,773,676 11,386,838 5,693,419 17,080,258 8,540,129 25,620,388 12,810,194 6,405,097 19,215,292 9,607,646 4,803,823 14,411,470 7,205,735 21,617,206 10,808,603 32,425,810 16,212,905

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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