712,658

2 × 349 × 1021

712,658 factors as 2 × 349 × 1021. Its 8 positive divisors give a proper-divisor sum of 360,442, so this integer is deficient. The Collatz stopping time is 74 steps.

Prime Factor Structure

Factorization String 2 × 349 × 1021

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,073,100

Proper Divisor Sum 360,442

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #712651 ← → #712669

Radix Representation

Decimal	712658
Binary	10101101111111010010 (20 bits)
Octal	0o2557722
Hexadecimal	0xADFD2

Divisor Catalog (8)

1 2 349 698 1,021 2,042 356,329 712,658

Collatz Trajectory (74 steps to reach 1)

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

712,658 356,329 1,068,988 534,494 267,247 801,742 400,871 1,202,614 601,307 1,803,922 901,961 2,705,884 1,352,942 676,471 2,029,414 1,014,707 3,044,122 1,522,061 4,566,184 2,283,092 1,141,546 570,773 1,712,320 856,160 428,080 214,040 107,020 53,510 26,755 80,266 40,133 120,400 60,200 30,100 15,050 7,525 22,576 11,288 5,644 2,822 1,411 4,234 2,117 6,352 3,176 1,588 794 397 1,192 596 298 149 448 224 112 56 28 14 7 22

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