773,785

5 × 43 × 59 × 61

773,785 factors as 5 × 43 × 59 × 61. Its 16 positive divisors give a proper-divisor sum of 208,295, so this integer is deficient. The Collatz stopping time is 162 steps.

Prime Factor Structure

Factorization String 5 × 43 × 59 × 61

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 982,080

Proper Divisor Sum 208,295

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #773779 ← → #773803

Radix Representation

Decimal	773785
Binary	10111100111010011001 (20 bits)
Octal	0o2747231
Hexadecimal	0xBCE99

Divisor Catalog (16)

1 5 43 59 61 215 295 305 2,537 2,623 3,599 12,685 13,115 17,995 154,757 773,785

Collatz Trajectory (162 steps to reach 1)

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

773,785 2,321,356 1,160,678 580,339 1,741,018 870,509 2,611,528 1,305,764 652,882 326,441 979,324 489,662 244,831 734,494 367,247 1,101,742 550,871 1,652,614 826,307 2,478,922 1,239,461 3,718,384 1,859,192 929,596 464,798 232,399 697,198 348,599 1,045,798 522,899 1,568,698 784,349 2,353,048 1,176,524 588,262 294,131 882,394 441,197 1,323,592 661,796 330,898 165,449 496,348 248,174 124,087 372,262 186,131 558,394 279,197 837,592 418,796 209,398 104,699 314,098 157,049 471,148 235,574 117,787 353,362 176,681

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