λ
Ratio Atlas
Atlas › Integer Profiles › Node 80,784
80,784
24 × 33 × 11 × 17
Abundant Even Composite

Prime Factor Structure

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

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 267,840
Proper Divisor Sum 187,056
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #80783 ← → #80789

Radix Representation

Decimal 80784
Binary 10011101110010000 (17 bits)
Octal 0o235620
Hexadecimal 0x13B90

Divisor Catalog (60 of 80)

1 2 3 4 6 8 9 11 12 16 17 18 22 24 27 33 34 36 44 48 51 54 66 68 72 88 99 102 108 132 136 144 153 176 187 198 204 216 264 272 297 306 374 396 408 432 459 528 561 594 612 748 792 816 918 1,122 1,188 1,224 1,496 1,584

Collatz Trajectory (89 steps to reach 1)

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

80,784 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

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 #80,783 Browse Full Index Next Integer #80,785 →