2⁶ × 3 × 5² × 11

Prime Factor Structure

Factorization String 2^6 × 3 × 5^2 × 11

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 84

Divisor Sum (σ) 188,976

Proper Divisor Sum 136,176

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #52783 ← → #52807

Radix Representation

Decimal	52800
Binary	1100111001000000 (16 bits)
Octal	0o147100
Hexadecimal	0xCE40

Divisor Catalog (60 of 84)

1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 32 33 40 44 48 50 55 60 64 66 75 80 88 96 100 110 120 132 150 160 165 176 192 200 220 240 264 275 300 320 330 352 400 440 480 528 550 600 660 704 800 825 880

Collatz Trajectory (140 steps to reach 1)

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

52,800 26,400 13,200 6,600 3,300 1,650 825 2,476 1,238 619 1,858 929 2,788 1,394 697 2,092 1,046 523 1,570 785 2,356 1,178 589 1,768 884 442 221 664 332 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

← Previous Integer #52,799 Browse Full Index Next Integer #52,801 →