2⁶ × 3 × 5 × 23 × 31

Prime Factor Structure

Factorization String 2^6 × 3 × 5 × 23 × 31

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 112

Divisor Sum (σ) 2,340,864

Proper Divisor Sum 1,656,384

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #684473 ← → #684493

Radix Representation

Decimal	684480
Binary	10100111000111000000 (20 bits)
Octal	0o2470700
Hexadecimal	0xA71C0

Divisor Catalog (60 of 112)

1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 31 32 40 46 48 60 62 64 69 80 92 93 96 115 120 124 138 155 160 184 186 192 230 240 248 276 310 320 345 368 372 460 465 480 496 552 620 690 713 736 744 920 930 960 992

Collatz Trajectory (79 steps to reach 1)

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

684,480 342,240 171,120 85,560 42,780 21,390 10,695 32,086 16,043 48,130 24,065 72,196 36,098 18,049 54,148 27,074 13,537 40,612 20,306 10,153 30,460 15,230 7,615 22,846 11,423 34,270 17,135 51,406 25,703 77,110 38,555 115,666 57,833 173,500 86,750 43,375 130,126 65,063 195,190 97,595 292,786 146,393 439,180 219,590 109,795 329,386 164,693 494,080 247,040 123,520 61,760 30,880 15,440 7,720 3,860 1,930 965 2,896 1,448 724

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 #684,479 Browse Full Index Next Integer #684,481 →