764,314

2 × 47² × 173

764,314 has digital root 7. The neighboring primes are 764293 and 764317; its proper-divisor sum differs from the starting integer by -350,474.

Prime Factor Structure

Factorization String 2 × 47^2 × 173

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,178,154

Proper Divisor Sum 413,840

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #764293 ← → #764317

Radix Representation

Decimal	764314
Binary	10111010100110011010 (20 bits)
Octal	0o2724632
Hexadecimal	0xBA99A

Divisor Catalog (12)

1 2 47 94 173 346 2,209 4,418 8,131 16,262 382,157 764,314

Collatz Trajectory (105 steps to reach 1)

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

764,314 382,157 1,146,472 573,236 286,618 143,309 429,928 214,964 107,482 53,741 161,224 80,612 40,306 20,153 60,460 30,230 15,115 45,346 22,673 68,020 34,010 17,005 51,016 25,508 12,754 6,377 19,132 9,566 4,783 14,350 7,175 21,526 10,763 32,290 16,145 48,436 24,218 12,109 36,328 18,164 9,082 4,541 13,624 6,812 3,406 1,703 5,110 2,555 7,666 3,833 11,500 5,750 2,875 8,626 4,313 12,940 6,470 3,235 9,706 4,853

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