2⁹ × 3 × 5 × 61

Prime Factor Structure

Factorization String 2^9 × 3 × 5 × 61

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 1,522,224

Proper Divisor Sum 1,053,744

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #468473 ← → #468491

Radix Representation

Decimal	468480
Binary	1110010011000000000 (19 bits)
Octal	0o1623000
Hexadecimal	0x72600

Divisor Catalog (60 of 80)

1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 61 64 80 96 120 122 128 160 183 192 240 244 256 305 320 366 384 480 488 512 610 640 732 768 915 960 976 1,220 1,280 1,464 1,536 1,830 1,920 1,952 2,440 2,560 2,928 3,660 3,840 3,904 4,880 5,856

Collatz Trajectory (138 steps to reach 1)

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

468,480 234,240 117,120 58,560 29,280 14,640 7,320 3,660 1,830 915 2,746 1,373 4,120 2,060 1,030 515 1,546 773 2,320 1,160 580 290 145 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526

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 #468,479 Browse Full Index Next Integer #468,481 →