λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,945,375
3,945,375
33 × 53 × 7 × 167
Abundant Odd Composite

Prime Factor Structure

Factorization String 3^3 × 5^3 × 7 × 167
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 8,386,560
Proper Divisor Sum 4,441,185
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3945367 ← → #3945391

Radix Representation

Decimal 3945375
Binary 1111000011001110011111 (22 bits)
Octal 0o17031637
Hexadecimal 0x3C339F

Divisor Catalog (60 of 64)

1 3 5 7 9 15 21 25 27 35 45 63 75 105 125 135 167 175 189 225 315 375 501 525 675 835 875 945 1,125 1,169 1,503 1,575 2,505 2,625 3,375 3,507 4,175 4,509 4,725 5,845 7,515 7,875 10,521 12,525 17,535 20,875 22,545 23,625 29,225 31,563 37,575 52,605 62,625 87,675 112,725 146,125 157,815 187,875 263,025 438,375

Collatz Trajectory (203 steps to reach 1)

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

3,945,375 11,836,126 5,918,063 17,754,190 8,877,095 26,631,286 13,315,643 39,946,930 19,973,465 59,920,396 29,960,198 14,980,099 44,940,298 22,470,149 67,410,448 33,705,224 16,852,612 8,426,306 4,213,153 12,639,460 6,319,730 3,159,865 9,479,596 4,739,798 2,369,899 7,109,698 3,554,849 10,664,548 5,332,274 2,666,137 7,998,412 3,999,206 1,999,603 5,998,810 2,999,405 8,998,216 4,499,108 2,249,554 1,124,777 3,374,332 1,687,166 843,583 2,530,750 1,265,375 3,796,126 1,898,063 5,694,190 2,847,095 8,541,286 4,270,643 12,811,930 6,405,965 19,217,896 9,608,948 4,804,474 2,402,237 7,206,712 3,603,356 1,801,678 900,839

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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