712,251

3² × 79139

712,251 factors as 3^2 × 79139. Its 6 positive divisors give a proper-divisor sum of 316,569, so this integer is deficient. The Collatz stopping time is 74 steps.

Prime Factor Structure

Factorization String 3^2 × 79139

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 1,028,820

Proper Divisor Sum 316,569

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #712237 ← → #712279

Radix Representation

Decimal	712251
Binary	10101101111000111011 (20 bits)
Octal	0o2557073
Hexadecimal	0xADE3B

Divisor Catalog (6)

1 3 9 79,139 237,417 712,251

Collatz Trajectory (74 steps to reach 1)

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

712,251 2,136,754 1,068,377 3,205,132 1,602,566 801,283 2,403,850 1,201,925 3,605,776 1,802,888 901,444 450,722 225,361 676,084 338,042 169,021 507,064 253,532 126,766 63,383 190,150 95,075 285,226 142,613 427,840 213,920 106,960 53,480 26,740 13,370 6,685 20,056 10,028 5,014 2,507 7,522 3,761 11,284 5,642 2,821 8,464 4,232 2,116 1,058 529 1,588 794 397 1,192 596 298 149 448 224 112 56 28 14 7 22

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