762,048

2⁶ × 3⁵ × 7²

Prime Factor Structure

Factorization String 2^6 × 3^5 × 7^2

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 126

Divisor Sum (σ) 2,634,996

Proper Divisor Sum 1,872,948

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #762037 ← → #762049

Radix Representation

Decimal	762048
Binary	10111010000011000000 (20 bits)
Octal	0o2720300
Hexadecimal	0xBA0C0

Divisor Catalog (60 of 126)

1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 64 72 81 84 96 98 108 112 126 144 147 162 168 189 192 196 216 224 243 252 288 294 324 336 378 392 432 441 448 486 504 567 576 588 648 672

Collatz Trajectory (56 steps to reach 1)

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

762,048 381,024 190,512 95,256 47,628 23,814 11,907 35,722 17,861 53,584 26,792 13,396 6,698 3,349 10,048 5,024 2,512 1,256 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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