338,372

2² × 29 × 2917

For 338,372, the 12 positive divisors have a total of 612,780. Removing 338,372 leaves 274,408, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^2 × 29 × 2917

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 612,780

Proper Divisor Sum 274,408

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #338369 ← → #338383

Radix Representation

Decimal	338372
Binary	1010010100111000100 (19 bits)
Octal	0o1224704
Hexadecimal	0x529C4

Divisor Catalog (12)

1 2 4 29 58 116 2,917 5,834 11,668 84,593 169,186 338,372

Collatz Trajectory (109 steps to reach 1)

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

338,372 169,186 84,593 253,780 126,890 63,445 190,336 95,168 47,584 23,792 11,896 5,948 2,974 1,487 4,462 2,231 6,694 3,347 10,042 5,021 15,064 7,532 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179 9,538 4,769 14,308 7,154 3,577 10,732 5,366 2,683 8,050 4,025 12,076 6,038 3,019 9,058 4,529 13,588 6,794 3,397 10,192 5,096 2,548 1,274 637 1,912 956 478 239 718 359

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