λ
Prime Ledger

338,812

22 × 71 × 1193
Deficient Even Composite

338,812 has the prime decomposition 2^2 × 71 × 1193. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 71 × 1193
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 601,776
Proper Divisor Sum 262,964
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #338803 ← → #338839

Radix Representation

Decimal 338812
Binary 1010010101101111100 (19 bits)
Octal 0o1225574
Hexadecimal 0x52B7C

Divisor Catalog (12)

1 2 4 71 142 284 1,193 2,386 4,772 84,703 169,406 338,812

Collatz Trajectory (109 steps to reach 1)

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

338,812 169,406 84,703 254,110 127,055 381,166 190,583 571,750 285,875 857,626 428,813 1,286,440 643,220 321,610 160,805 482,416 241,208 120,604 60,302 30,151 90,454 45,227 135,682 67,841 203,524 101,762 50,881 152,644 76,322 38,161 114,484 57,242 28,621 85,864 42,932 21,466 10,733 32,200 16,100 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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