438,726

2 × 3 × 73121

Starting at 438,726, the Collatz iteration reaches 1 after 37 steps. The first transition is 219363; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 73121

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 877,464

Proper Divisor Sum 438,738

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #438721 ← → #438733

Radix Representation

Decimal	438726
Binary	1101011000111000110 (19 bits)
Octal	0o1530706
Hexadecimal	0x6B1C6

Divisor Catalog (8)

1 2 3 6 73,121 146,242 219,363 438,726

Collatz Trajectory (37 steps to reach 1)

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

438,726 219,363 658,090 329,045 987,136 493,568 246,784 123,392 61,696 30,848 15,424 7,712 3,856 1,928 964 482 241 724 362 181 544 272 136 68 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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