687,158

2 × 343579

Starting at 687,158, the Collatz iteration reaches 1 after 167 steps. The first transition is 343579; the starting value is even with 4 positive divisors.

Prime Factor Structure

Factorization String 2 × 343579

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 1,030,740

Proper Divisor Sum 343,582

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #687151 ← → #687161

Radix Representation

Decimal	687158
Binary	10100111110000110110 (20 bits)
Octal	0o2476066
Hexadecimal	0xA7C36

Divisor Catalog (4)

1 2 343,579 687,158

Collatz Trajectory (167 steps to reach 1)

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

687,158 343,579 1,030,738 515,369 1,546,108 773,054 386,527 1,159,582 579,791 1,739,374 869,687 2,609,062 1,304,531 3,913,594 1,956,797 5,870,392 2,935,196 1,467,598 733,799 2,201,398 1,100,699 3,302,098 1,651,049 4,953,148 2,476,574 1,238,287 3,714,862 1,857,431 5,572,294 2,786,147 8,358,442 4,179,221 12,537,664 6,268,832 3,134,416 1,567,208 783,604 391,802 195,901 587,704 293,852 146,926 73,463 220,390 110,195 330,586 165,293 495,880 247,940 123,970 61,985 185,956 92,978 46,489 139,468 69,734 34,867 104,602 52,301 156,904

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