775,327

7² × 15823

775,327 factors as 7^2 × 15823. Its 6 positive divisors give a proper-divisor sum of 126,641, so this integer is deficient. The Collatz stopping time is 224 steps.

Prime Factor Structure

Factorization String 7^2 × 15823

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 901,968

Proper Divisor Sum 126,641

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #775309 ← → #775343

Radix Representation

Decimal	775327
Binary	10111101010010011111 (20 bits)
Octal	0o2752237
Hexadecimal	0xBD49F

Divisor Catalog (6)

1 7 49 15,823 110,761 775,327

Collatz Trajectory (224 steps to reach 1)

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

775,327 2,325,982 1,162,991 3,488,974 1,744,487 5,233,462 2,616,731 7,850,194 3,925,097 11,775,292 5,887,646 2,943,823 8,831,470 4,415,735 13,247,206 6,623,603 19,870,810 9,935,405 29,806,216 14,903,108 7,451,554 3,725,777 11,177,332 5,588,666 2,794,333 8,383,000 4,191,500 2,095,750 1,047,875 3,143,626 1,571,813 4,715,440 2,357,720 1,178,860 589,430 294,715 884,146 442,073 1,326,220 663,110 331,555 994,666 497,333 1,492,000 746,000 373,000 186,500 93,250 46,625 139,876 69,938 34,969 104,908 52,454 26,227 78,682 39,341 118,024 59,012 29,506

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