λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,501,595
8,501,595
3 × 5 × 31 × 47 × 389
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 31 × 47 × 389
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 14,376,960
Proper Divisor Sum 5,875,365
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #8501579 ← → #8501609

Radix Representation

Decimal 8501595
Binary 100000011011100101011011 (24 bits)
Octal 0o40334533
Hexadecimal 0x81B95B

Divisor Catalog (32)

1 3 5 15 31 47 93 141 155 235 389 465 705 1,167 1,457 1,945 4,371 5,835 7,285 12,059 18,283 21,855 36,177 54,849 60,295 91,415 180,885 274,245 566,773 1,700,319 2,833,865 8,501,595

Collatz Trajectory (243 steps to reach 1)

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

8,501,595 25,504,786 12,752,393 38,257,180 19,128,590 9,564,295 28,692,886 14,346,443 43,039,330 21,519,665 64,558,996 32,279,498 16,139,749 48,419,248 24,209,624 12,104,812 6,052,406 3,026,203 9,078,610 4,539,305 13,617,916 6,808,958 3,404,479 10,213,438 5,106,719 15,320,158 7,660,079 22,980,238 11,490,119 34,470,358 17,235,179 51,705,538 25,852,769 77,558,308 38,779,154 19,389,577 58,168,732 29,084,366 14,542,183 43,626,550 21,813,275 65,439,826 32,719,913 98,159,740 49,079,870 24,539,935 73,619,806 36,809,903 110,429,710 55,214,855 165,644,566 82,822,283 248,466,850 124,233,425 372,700,276 186,350,138 93,175,069 279,525,208 139,762,604 69,881,302

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 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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