λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,991,015
8,991,015
3 × 5 × 11 × 29 × 1879
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 11 × 29 × 1879
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 16,243,200
Proper Divisor Sum 7,252,185
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #8991007 ← → #8991029

Radix Representation

Decimal 8991015
Binary 100010010011000100100111 (24 bits)
Octal 0o42230447
Hexadecimal 0x893127

Divisor Catalog (32)

1 3 5 11 15 29 33 55 87 145 165 319 435 957 1,595 1,879 4,785 5,637 9,395 20,669 28,185 54,491 62,007 103,345 163,473 272,455 310,035 599,401 817,365 1,798,203 2,997,005 8,991,015

Collatz Trajectory (168 steps to reach 1)

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

8,991,015 26,973,046 13,486,523 40,459,570 20,229,785 60,689,356 30,344,678 15,172,339 45,517,018 22,758,509 68,275,528 34,137,764 17,068,882 8,534,441 25,603,324 12,801,662 6,400,831 19,202,494 9,601,247 28,803,742 14,401,871 43,205,614 21,602,807 64,808,422 32,404,211 97,212,634 48,606,317 145,818,952 72,909,476 36,454,738 18,227,369 54,682,108 27,341,054 13,670,527 41,011,582 20,505,791 61,517,374 30,758,687 92,276,062 46,138,031 138,414,094 69,207,047 207,621,142 103,810,571 311,431,714 155,715,857 467,147,572 233,573,786 116,786,893 350,360,680 175,180,340 87,590,170 43,795,085 131,385,256 65,692,628 32,846,314 16,423,157 49,269,472 24,634,736 12,317,368

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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