712,532

2² × 53 × 3361

712,532 factors as 2^2 × 53 × 3361. Its 12 positive divisors give a proper-divisor sum of 558,304, so this integer is deficient. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 2^2 × 53 × 3361

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,270,836

Proper Divisor Sum 558,304

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #712531 ← → #712561

Radix Representation

Decimal	712532
Binary	10101101111101010100 (20 bits)
Octal	0o2557524
Hexadecimal	0xADF54

Divisor Catalog (12)

1 2 4 53 106 212 3,361 6,722 13,444 178,133 356,266 712,532

Collatz Trajectory (123 steps to reach 1)

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

712,532 356,266 178,133 534,400 267,200 133,600 66,800 33,400 16,700 8,350 4,175 12,526 6,263 18,790 9,395 28,186 14,093 42,280 21,140 10,570 5,285 15,856 7,928 3,964 1,982 991 2,974 1,487 4,462 2,231 6,694 3,347 10,042 5,021 15,064 7,532 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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