338,076

2² × 3² × 9391

338,076 has the prime decomposition 2^2 × 3^2 × 9391. Its 3 distinct prime factors produce 18 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 9391

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 854,672

Proper Divisor Sum 516,596

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #338033 ← → #338119

Radix Representation

Decimal	338076
Binary	1010010100010011100 (19 bits)
Octal	0o1224234
Hexadecimal	0x5289C

Divisor Catalog (18)

1 2 3 4 6 9 12 18 36 9,391 18,782 28,173 37,564 56,346 84,519 112,692 169,038 338,076

Collatz Trajectory (65 steps to reach 1)

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

338,076 169,038 84,519 253,558 126,779 380,338 190,169 570,508 285,254 142,627 427,882 213,941 641,824 320,912 160,456 80,228 40,114 20,057 60,172 30,086 15,043 45,130 22,565 67,696 33,848 16,924 8,462 4,231 12,694 6,347 19,042 9,521 28,564 14,282 7,141 21,424 10,712 5,356 2,678 1,339 4,018 2,009 6,028 3,014 1,507 4,522 2,261 6,784 3,392 1,696 848 424 212 106 53 160 80 40 20 10

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