332,640

2⁵ × 3³ × 5 × 7 × 11

Prime Factor Structure

Factorization String 2^5 × 3^3 × 5 × 7 × 11

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 192

Divisor Sum (σ) 1,451,520

Proper Divisor Sum 1,118,880

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #332623 ← → #332641

Radix Representation

Decimal	332640
Binary	1010001001101100000 (19 bits)
Octal	0o1211540
Hexadecimal	0x51360

Divisor Catalog (60 of 192)

1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 27 28 30 32 33 35 36 40 42 44 45 48 54 55 56 60 63 66 70 72 77 80 84 88 90 96 99 105 108 110 112 120 126 132 135 140 144 154 160 165

Collatz Trajectory (91 steps to reach 1)

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

332,640 166,320 83,160 41,580 20,790 10,395 31,186 15,593 46,780 23,390 11,695 35,086 17,543 52,630 26,315 78,946 39,473 118,420 59,210 29,605 88,816 44,408 22,204 11,102 5,551 16,654 8,327 24,982 12,491 37,474 18,737 56,212 28,106 14,053 42,160 21,080 10,540 5,270 2,635 7,906 3,953 11,860 5,930 2,965 8,896 4,448 2,224 1,112 556 278 139 418 209 628 314 157 472 236 118 59

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