443,577

3 × 147859

Starting at 443,577, the Collatz iteration reaches 1 after 218 steps. The first transition is 1330732; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 3 × 147859

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 591,440

Proper Divisor Sum 147,863

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #443567 ← → #443587

Radix Representation

Decimal	443577
Binary	1101100010010111001 (19 bits)
Octal	0o1542271
Hexadecimal	0x6C4B9

Divisor Catalog (4)

1 3 147,859 443,577

Collatz Trajectory (218 steps to reach 1)

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

443,577 1,330,732 665,366 332,683 998,050 499,025 1,497,076 748,538 374,269 1,122,808 561,404 280,702 140,351 421,054 210,527 631,582 315,791 947,374 473,687 1,421,062 710,531 2,131,594 1,065,797 3,197,392 1,598,696 799,348 399,674 199,837 599,512 299,756 149,878 74,939 224,818 112,409 337,228 168,614 84,307 252,922 126,461 379,384 189,692 94,846 47,423 142,270 71,135 213,406 106,703 320,110 160,055 480,166 240,083 720,250 360,125 1,080,376 540,188 270,094 135,047 405,142 202,571 607,714

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