712,326

2 × 3 × 227 × 523

712,326 has digital root 3. The neighboring primes are 712321 and 712331; its proper-divisor sum differs from the starting integer by 9,012.

Prime Factor Structure

Factorization String 2 × 3 × 227 × 523

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,433,664

Proper Divisor Sum 721,338

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #712321 ← → #712331

Radix Representation

Decimal	712326
Binary	10101101111010000110 (20 bits)
Octal	0o2557206
Hexadecimal	0xADE86

Divisor Catalog (16)

1 2 3 6 227 454 523 681 1,046 1,362 1,569 3,138 118,721 237,442 356,163 712,326

Collatz Trajectory (123 steps to reach 1)

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

712,326 356,163 1,068,490 534,245 1,602,736 801,368 400,684 200,342 100,171 300,514 150,257 450,772 225,386 112,693 338,080 169,040 84,520 42,260 21,130 10,565 31,696 15,848 7,924 3,962 1,981 5,944 2,972 1,486 743 2,230 1,115 3,346 1,673 5,020 2,510 1,255 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179 9,538 4,769 14,308 7,154 3,577 10,732 5,366 2,683 8,050 4,025 12,076 6,038 3,019 9,058 4,529

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