627,819

3 × 59 × 3547

Starting at 627,819, the Collatz iteration reaches 1 after 110 steps. The first transition is 1883458; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 59 × 3547

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 851,520

Proper Divisor Sum 223,701

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #627811 ← → #627841

Radix Representation

Decimal	627819
Binary	10011001010001101011 (20 bits)
Octal	0o2312153
Hexadecimal	0x9946B

Divisor Catalog (8)

1 3 59 177 3,547 10,641 209,273 627,819

Collatz Trajectory (110 steps to reach 1)

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

627,819 1,883,458 941,729 2,825,188 1,412,594 706,297 2,118,892 1,059,446 529,723 1,589,170 794,585 2,383,756 1,191,878 595,939 1,787,818 893,909 2,681,728 1,340,864 670,432 335,216 167,608 83,804 41,902 20,951 62,854 31,427 94,282 47,141 141,424 70,712 35,356 17,678 8,839 26,518 13,259 39,778 19,889 59,668 29,834 14,917 44,752 22,376 11,188 5,594 2,797 8,392 4,196 2,098 1,049 3,148 1,574 787 2,362 1,181 3,544 1,772 886 443 1,330 665

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