766,173

3 × 17 × 83 × 181

766,173 is odd and not a perfect square. Its factorization is 3 × 17 × 83 × 181 and its 16 divisors sum to 1,100,736.

Prime Factor Structure

Factorization String 3 × 17 × 83 × 181

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,100,736

Proper Divisor Sum 334,563

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #766169 ← → #766177

Radix Representation

Decimal	766173
Binary	10111011000011011101 (20 bits)
Octal	0o2730335
Hexadecimal	0xBB0DD

Divisor Catalog (16)

1 3 17 51 83 181 249 543 1,411 3,077 4,233 9,231 15,023 45,069 255,391 766,173

Collatz Trajectory (100 steps to reach 1)

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

766,173 2,298,520 1,149,260 574,630 287,315 861,946 430,973 1,292,920 646,460 323,230 161,615 484,846 242,423 727,270 363,635 1,090,906 545,453 1,636,360 818,180 409,090 204,545 613,636 306,818 153,409 460,228 230,114 115,057 345,172 172,586 86,293 258,880 129,440 64,720 32,360 16,180 8,090 4,045 12,136 6,068 3,034 1,517 4,552 2,276 1,138 569 1,708 854 427 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814

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