λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,012,015
8,012,015
5 × 112 × 17 × 19 × 41
Deficient Odd Composite

Prime Factor Structure

Factorization String 5 × 11^2 × 17 × 19 × 41
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 12,065,760
Proper Divisor Sum 4,053,745
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #8012003 ← → #8012021

Radix Representation

Decimal 8012015
Binary 11110100100000011101111 (23 bits)
Octal 0o36440357
Hexadecimal 0x7A40EF

Divisor Catalog (48)

1 5 11 17 19 41 55 85 95 121 187 205 209 323 451 605 697 779 935 1,045 1,615 2,057 2,255 2,299 3,485 3,553 3,895 4,961 7,667 8,569 10,285 11,495 13,243 17,765 24,805 38,335 39,083 42,845 66,215 84,337 94,259 145,673 195,415 421,685 471,295 728,365 1,602,403 8,012,015

Collatz Trajectory (261 steps to reach 1)

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

8,012,015 24,036,046 12,018,023 36,054,070 18,027,035 54,081,106 27,040,553 81,121,660 40,560,830 20,280,415 60,841,246 30,420,623 91,261,870 45,630,935 136,892,806 68,446,403 205,339,210 102,669,605 308,008,816 154,004,408 77,002,204 38,501,102 19,250,551 57,751,654 28,875,827 86,627,482 43,313,741 129,941,224 64,970,612 32,485,306 16,242,653 48,727,960 24,363,980 12,181,990 6,090,995 18,272,986 9,136,493 27,409,480 13,704,740 6,852,370 3,426,185 10,278,556 5,139,278 2,569,639 7,708,918 3,854,459 11,563,378 5,781,689 17,345,068 8,672,534 4,336,267 13,008,802 6,504,401 19,513,204 9,756,602 4,878,301 14,634,904 7,317,452 3,658,726 1,829,363

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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