767,232

2⁸ × 3⁴ × 37

Prime Factor Structure

Factorization String 2^8 × 3^4 × 37

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 90

Divisor Sum (σ) 2,349,578

Proper Divisor Sum 1,582,346

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #767203 ← → #767243

Radix Representation

Decimal	767232
Binary	10111011010100000000 (20 bits)
Octal	0o2732400
Hexadecimal	0xBB500

Divisor Catalog (60 of 90)

1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 64 72 74 81 96 108 111 128 144 148 162 192 216 222 256 288 296 324 333 384 432 444 576 592 648 666 768 864 888 999 1,152 1,184 1,296 1,332 1,728 1,776 1,998 2,304 2,368 2,592 2,664 2,997 3,456

Collatz Trajectory (56 steps to reach 1)

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

767,232 383,616 191,808 95,904 47,952 23,976 11,988 5,994 2,997 8,992 4,496 2,248 1,124 562 281 844 422 211 634 317 952 476 238 119 358 179 538 269 808 404 202 101 304 152 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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