784,433

13 × 83 × 727

784,433 factors as 13 × 83 × 727. Its 8 positive divisors give a proper-divisor sum of 71,695, so this integer is deficient. The Collatz stopping time is 131 steps.

Prime Factor Structure

Factorization String 13 × 83 × 727

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 856,128

Proper Divisor Sum 71,695

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #784423 ← → #784447

Radix Representation

Decimal	784433
Binary	10111111100000110001 (20 bits)
Octal	0o2774061
Hexadecimal	0xBF831

Divisor Catalog (8)

1 13 83 727 1,079 9,451 60,341 784,433

Collatz Trajectory (131 steps to reach 1)

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

784,433 2,353,300 1,176,650 588,325 1,764,976 882,488 441,244 220,622 110,311 330,934 165,467 496,402 248,201 744,604 372,302 186,151 558,454 279,227 837,682 418,841 1,256,524 628,262 314,131 942,394 471,197 1,413,592 706,796 353,398 176,699 530,098 265,049 795,148 397,574 198,787 596,362 298,181 894,544 447,272 223,636 111,818 55,909 167,728 83,864 41,932 20,966 10,483 31,450 15,725 47,176 23,588 11,794 5,897 17,692 8,846 4,423 13,270 6,635 19,906 9,953 29,860

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