λ
Ratio Atlas
Atlas › Integer Profiles › Node 40,392
40,392
23 × 33 × 11 × 17
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3^3 × 11 × 17
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 129,600
Proper Divisor Sum 89,208
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #40387 ← → #40423

Radix Representation

Decimal 40392
Binary 1001110111001000 (16 bits)
Octal 0o116710
Hexadecimal 0x9DC8

Divisor Catalog (60 of 64)

1 2 3 4 6 8 9 11 12 17 18 22 24 27 33 34 36 44 51 54 66 68 72 88 99 102 108 132 136 153 187 198 204 216 264 297 306 374 396 408 459 561 594 612 748 792 918 1,122 1,188 1,224 1,496 1,683 1,836 2,244 2,376 3,366 3,672 4,488 5,049 6,732

Collatz Trajectory (88 steps to reach 1)

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

40,392 20,196 10,098 5,049 15,148 7,574 3,787 11,362 5,681 17,044 8,522 4,261 12,784 6,392 3,196 1,598 799 2,398 1,199 3,598 1,799 5,398 2,699 8,098 4,049 12,148 6,074 3,037 9,112 4,556 2,278 1,139 3,418 1,709 5,128 2,564 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43

Active Feeder Network

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

Feeder #6,411,996 Feeder #5,213,165 Feeder #8,297,652 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
← Previous Integer #40,391 Browse Full Index Next Integer #40,393 →