558,351

3² × 62039

Starting at 558,351, the Collatz iteration reaches 1 after 177 steps. The first transition is 1675054; the starting value is odd with 6 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 62039

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 806,520

Proper Divisor Sum 248,169

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #558343 ← → #558401

Radix Representation

Decimal	558351
Binary	10001000010100001111 (20 bits)
Octal	0o2102417
Hexadecimal	0x8850F

Divisor Catalog (6)

1 3 9 62,039 186,117 558,351

Collatz Trajectory (177 steps to reach 1)

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

558,351 1,675,054 837,527 2,512,582 1,256,291 3,768,874 1,884,437 5,653,312 2,826,656 1,413,328 706,664 353,332 176,666 88,333 265,000 132,500 66,250 33,125 99,376 49,688 24,844 12,422 6,211 18,634 9,317 27,952 13,976 6,988 3,494 1,747 5,242 2,621 7,864 3,932 1,966 983 2,950 1,475 4,426 2,213 6,640 3,320 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108 3,554

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