2⁴ × 3² × 5 × 7 × 43

Prime Factor Structure

Factorization String 2^4 × 3^2 × 5 × 7 × 43

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 851,136

Proper Divisor Sum 634,416

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #216719 ← → #216731

Radix Representation

Decimal	216720
Binary	110100111010010000 (18 bits)
Octal	0o647220
Hexadecimal	0x34E90

Divisor Catalog (60 of 120)

1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 43 45 48 56 60 63 70 72 80 84 86 90 105 112 120 126 129 140 144 168 172 180 210 215 240 252 258 280 301 315 336 344 360 387 420 430

Collatz Trajectory (186 steps to reach 1)

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

216,720 108,360 54,180 27,090 13,545 40,636 20,318 10,159 30,478 15,239 45,718 22,859 68,578 34,289 102,868 51,434 25,717 77,152 38,576 19,288 9,644 4,822 2,411 7,234 3,617 10,852 5,426 2,713 8,140 4,070 2,035 6,106 3,053 9,160 4,580 2,290 1,145 3,436 1,718 859 2,578 1,289 3,868 1,934 967 2,902 1,451 4,354 2,177 6,532 3,266 1,633 4,900 2,450 1,225 3,676 1,838 919 2,758 1,379

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

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