712,173

3 × 7 × 11 × 3083

712,173 is odd and not a perfect square. Its factorization is 3 × 7 × 11 × 3083 and its 16 divisors sum to 1,184,256.

Prime Factor Structure

Factorization String 3 × 7 × 11 × 3083

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,184,256

Proper Divisor Sum 472,083

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #712171 ← → #712183

Radix Representation

Decimal	712173
Binary	10101101110111101101 (20 bits)
Octal	0o2556755
Hexadecimal	0xADDED

Divisor Catalog (16)

1 3 7 11 21 33 77 231 3,083 9,249 21,581 33,913 64,743 101,739 237,391 712,173

Collatz Trajectory (167 steps to reach 1)

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

712,173 2,136,520 1,068,260 534,130 267,065 801,196 400,598 200,299 600,898 300,449 901,348 450,674 225,337 676,012 338,006 169,003 507,010 253,505 760,516 380,258 190,129 570,388 285,194 142,597 427,792 213,896 106,948 53,474 26,737 80,212 40,106 20,053 60,160 30,080 15,040 7,520 3,760 1,880 940 470 235 706 353 1,060 530 265 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253 760

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