λ
Ratio Atlas
Atlas › Integer Profiles › Node 6,311,591
6,311,591
11 × 13 × 19 × 23 × 101
Deficient Odd Composite

Prime Factor Structure

Factorization String 11 × 13 × 19 × 23 × 101
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,225,280
Proper Divisor Sum 1,913,689
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #6311567 ← → #6311597

Radix Representation

Decimal 6311591
Binary 11000000100111010100111 (23 bits)
Octal 0o30047247
Hexadecimal 0x604EA7

Divisor Catalog (32)

1 11 13 19 23 101 143 209 247 253 299 437 1,111 1,313 1,919 2,323 2,717 3,289 4,807 5,681 14,443 21,109 24,947 25,553 30,199 44,137 62,491 274,417 332,189 485,507 573,781 6,311,591

Collatz Trajectory (315 steps to reach 1)

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

6,311,591 18,934,774 9,467,387 28,402,162 14,201,081 42,603,244 21,301,622 10,650,811 31,952,434 15,976,217 47,928,652 23,964,326 11,982,163 35,946,490 17,973,245 53,919,736 26,959,868 13,479,934 6,739,967 20,219,902 10,109,951 30,329,854 15,164,927 45,494,782 22,747,391 68,242,174 34,121,087 102,363,262 51,181,631 153,544,894 76,772,447 230,317,342 115,158,671 345,476,014 172,738,007 518,214,022 259,107,011 777,321,034 388,660,517 1,165,981,552 582,990,776 291,495,388 145,747,694 72,873,847 218,621,542 109,310,771 327,932,314 163,966,157 491,898,472 245,949,236 122,974,618 61,487,309 184,461,928 92,230,964 46,115,482 23,057,741 69,173,224 34,586,612 17,293,306 8,646,653

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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