770,512

2⁴ × 48157

770,512 factors as 2^4 × 48157. Its 10 positive divisors give a proper-divisor sum of 722,386, so this integer is deficient. The Collatz stopping time is 193 steps.

Prime Factor Structure

Factorization String 2^4 × 48157

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 10

Divisor Sum (σ) 1,492,898

Proper Divisor Sum 722,386

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #770503 ← → #770519

Radix Representation

Decimal	770512
Binary	10111100000111010000 (20 bits)
Octal	0o2740720
Hexadecimal	0xBC1D0

Divisor Catalog (10)

1 2 4 8 16 48,157 96,314 192,628 385,256 770,512

Collatz Trajectory (193 steps to reach 1)

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

770,512 385,256 192,628 96,314 48,157 144,472 72,236 36,118 18,059 54,178 27,089 81,268 40,634 20,317 60,952 30,476 15,238 7,619 22,858 11,429 34,288 17,144 8,572 4,286 2,143 6,430 3,215 9,646 4,823 14,470 7,235 21,706 10,853 32,560 16,280 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

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