λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,071,731
8,071,731
35 × 59 × 563
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^5 × 59 × 563
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 12,317,760
Proper Divisor Sum 4,246,029
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #8071727 ← → #8071757

Radix Representation

Decimal 8071731
Binary 11110110010101000110011 (23 bits)
Octal 0o36625063
Hexadecimal 0x7B2A33

Divisor Catalog (24)

1 3 9 27 59 81 177 243 531 563 1,593 1,689 4,779 5,067 14,337 15,201 33,217 45,603 99,651 136,809 298,953 896,859 2,690,577 8,071,731

Collatz Trajectory (248 steps to reach 1)

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

8,071,731 24,215,194 12,107,597 36,322,792 18,161,396 9,080,698 4,540,349 13,621,048 6,810,524 3,405,262 1,702,631 5,107,894 2,553,947 7,661,842 3,830,921 11,492,764 5,746,382 2,873,191 8,619,574 4,309,787 12,929,362 6,464,681 19,394,044 9,697,022 4,848,511 14,545,534 7,272,767 21,818,302 10,909,151 32,727,454 16,363,727 49,091,182 24,545,591 73,636,774 36,818,387 110,455,162 55,227,581 165,682,744 82,841,372 41,420,686 20,710,343 62,131,030 31,065,515 93,196,546 46,598,273 139,794,820 69,897,410 34,948,705 104,846,116 52,423,058 26,211,529 78,634,588 39,317,294 19,658,647 58,975,942 29,487,971 88,463,914 44,231,957 132,695,872 66,347,936

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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