2³ × 3³ × 5 × 11 × 19

Prime Factor Structure

Factorization String 2^3 × 3^3 × 5 × 11 × 19

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 128

Divisor Sum (σ) 864,000

Proper Divisor Sum 638,280

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #225697 ← → #225721

Radix Representation

Decimal	225720
Binary	110111000110111000 (18 bits)
Octal	0o670670
Hexadecimal	0x371B8

Divisor Catalog (60 of 128)

1 2 3 4 5 6 8 9 10 11 12 15 18 19 20 22 24 27 30 33 36 38 40 44 45 54 55 57 60 66 72 76 88 90 95 99 108 110 114 120 132 135 152 165 171 180 190 198 209 216 220 228 264 270 285 297 330 342 360 380

Collatz Trajectory (137 steps to reach 1)

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

225,720 112,860 56,430 28,215 84,646 42,323 126,970 63,485 190,456 95,228 47,614 23,807 71,422 35,711 107,134 53,567 160,702 80,351 241,054 120,527 361,582 180,791 542,374 271,187 813,562 406,781 1,220,344 610,172 305,086 152,543 457,630 228,815 686,446 343,223 1,029,670 514,835 1,544,506 772,253 2,316,760 1,158,380 579,190 289,595 868,786 434,393 1,303,180 651,590 325,795 977,386 488,693 1,466,080 733,040 366,520 183,260 91,630 45,815 137,446 68,723 206,170 103,085 309,256

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

← Previous Integer #225,719 Browse Full Index Next Integer #225,721 →