777,125

5³ × 6217

777,125 factors as 5^3 × 6217. Its 8 positive divisors give a proper-divisor sum of 192,883, so this integer is deficient. The Collatz stopping time is 118 steps.

Prime Factor Structure

Factorization String 5^3 × 6217

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 970,008

Proper Divisor Sum 192,883

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #777109 ← → #777137

Radix Representation

Decimal	777125
Binary	10111101101110100101 (20 bits)
Octal	0o2755645
Hexadecimal	0xBDBA5

Divisor Catalog (8)

1 5 25 125 6,217 31,085 155,425 777,125

Collatz Trajectory (118 steps to reach 1)

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

777,125 2,331,376 1,165,688 582,844 291,422 145,711 437,134 218,567 655,702 327,851 983,554 491,777 1,475,332 737,666 368,833 1,106,500 553,250 276,625 829,876 414,938 207,469 622,408 311,204 155,602 77,801 233,404 116,702 58,351 175,054 87,527 262,582 131,291 393,874 196,937 590,812 295,406 147,703 443,110 221,555 664,666 332,333 997,000 498,500 249,250 124,625 373,876 186,938 93,469 280,408 140,204 70,102 35,051 105,154 52,577 157,732 78,866 39,433 118,300 59,150 29,575

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