676,797

3 × 11 × 20509

676,797 factors as 3 × 11 × 20509. Its 8 positive divisors give a proper-divisor sum of 307,683, so this integer is deficient. The Collatz stopping time is 167 steps.

Prime Factor Structure

Factorization String 3 × 11 × 20509

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 984,480

Proper Divisor Sum 307,683

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #676771 ← → #676807

Radix Representation

Decimal	676797
Binary	10100101001110111101 (20 bits)
Octal	0o2451675
Hexadecimal	0xA53BD

Divisor Catalog (8)

1 3 11 33 20,509 61,527 225,599 676,797

Collatz Trajectory (167 steps to reach 1)

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

676,797 2,030,392 1,015,196 507,598 253,799 761,398 380,699 1,142,098 571,049 1,713,148 856,574 428,287 1,284,862 642,431 1,927,294 963,647 2,890,942 1,445,471 4,336,414 2,168,207 6,504,622 3,252,311 9,756,934 4,878,467 14,635,402 7,317,701 21,953,104 10,976,552 5,488,276 2,744,138 1,372,069 4,116,208 2,058,104 1,029,052 514,526 257,263 771,790 385,895 1,157,686 578,843 1,736,530 868,265 2,604,796 1,302,398 651,199 1,953,598 976,799 2,930,398 1,465,199 4,395,598 2,197,799 6,593,398 3,296,699 9,890,098 4,945,049 14,835,148 7,417,574 3,708,787 11,126,362 5,563,181

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