λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,115,385
3,115,385
5 × 7 × 13 × 41 × 167
Deficient Odd Composite

Prime Factor Structure

Factorization String 5 × 7 × 13 × 41 × 167
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 4,741,632
Proper Divisor Sum 1,626,247
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #3115381 ← → #3115397

Radix Representation

Decimal 3115385
Binary 1011111000100101111001 (22 bits)
Octal 0o13704571
Hexadecimal 0x2F8979

Divisor Catalog (32)

1 5 7 13 35 41 65 91 167 205 287 455 533 835 1,169 1,435 2,171 2,665 3,731 5,845 6,847 10,855 15,197 18,655 34,235 47,929 75,985 89,011 239,645 445,055 623,077 3,115,385

Collatz Trajectory (257 steps to reach 1)

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

3,115,385 9,346,156 4,673,078 2,336,539 7,009,618 3,504,809 10,514,428 5,257,214 2,628,607 7,885,822 3,942,911 11,828,734 5,914,367 17,743,102 8,871,551 26,614,654 13,307,327 39,921,982 19,960,991 59,882,974 29,941,487 89,824,462 44,912,231 134,736,694 67,368,347 202,105,042 101,052,521 303,157,564 151,578,782 75,789,391 227,368,174 113,684,087 341,052,262 170,526,131 511,578,394 255,789,197 767,367,592 383,683,796 191,841,898 95,920,949 287,762,848 143,881,424 71,940,712 35,970,356 17,985,178 8,992,589 26,977,768 13,488,884 6,744,442 3,372,221 10,116,664 5,058,332 2,529,166 1,264,583 3,793,750 1,896,875 5,690,626 2,845,313 8,535,940 4,267,970

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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