338,427

3² × 31 × 1213

338,427 factors as 3^2 × 31 × 1213. Its 12 positive divisors give a proper-divisor sum of 166,597, so this integer is deficient. The Collatz stopping time is 135 steps.

Prime Factor Structure

Factorization String 3^2 × 31 × 1213

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 505,024

Proper Divisor Sum 166,597

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #338423 ← → #338431

Radix Representation

Decimal	338427
Binary	1010010100111111011 (19 bits)
Octal	0o1224773
Hexadecimal	0x529FB

Divisor Catalog (12)

1 3 9 31 93 279 1,213 3,639 10,917 37,603 112,809 338,427

Collatz Trajectory (135 steps to reach 1)

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

338,427 1,015,282 507,641 1,522,924 761,462 380,731 1,142,194 571,097 1,713,292 856,646 428,323 1,284,970 642,485 1,927,456 963,728 481,864 240,932 120,466 60,233 180,700 90,350 45,175 135,526 67,763 203,290 101,645 304,936 152,468 76,234 38,117 114,352 57,176 28,588 14,294 7,147 21,442 10,721 32,164 16,082 8,041 24,124 12,062 6,031 18,094 9,047 27,142 13,571 40,714 20,357 61,072 30,536 15,268 7,634 3,817 11,452 5,726 2,863 8,590 4,295 12,886

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