640,320

2⁶ × 3 × 5 × 23 × 29

Prime Factor Structure

Factorization String 2^6 × 3 × 5 × 23 × 29

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 112

Divisor Sum (σ) 2,194,560

Proper Divisor Sum 1,554,240

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #640307 ← → #640333

Radix Representation

Decimal	640320
Binary	10011100010101000000 (20 bits)
Octal	0o2342500
Hexadecimal	0x9C540

Divisor Catalog (60 of 112)

1 2 3 4 5 6 8 10 12 15 16 20 23 24 29 30 32 40 46 48 58 60 64 69 80 87 92 96 115 116 120 138 145 160 174 184 192 230 232 240 276 290 320 345 348 368 435 460 464 480 552 580 667 690 696 736 870 920 928 960

Collatz Trajectory (35 steps to reach 1)

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

640,320 320,160 160,080 80,040 40,020 20,010 10,005 30,016 15,008 7,504 3,752 1,876 938 469 1,408 704 352 176 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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