λ
Integer Codex

474,438

2 × 3 × 107 × 739
Abundant Even Composite

For 474,438, the 16 positive divisors have a total of 959,040. Removing 474,438 leaves 484,602, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3 × 107 × 739
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 959,040
Proper Divisor Sum 484,602
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #474437 ← → #474443

Radix Representation

Decimal 474438
Binary 1110011110101000110 (19 bits)
Octal 0o1636506
Hexadecimal 0x73D46

Divisor Catalog (16)

1 2 3 6 107 214 321 642 739 1,478 2,217 4,434 79,073 158,146 237,219 474,438

Collatz Trajectory (169 steps to reach 1)

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

474,438 237,219 711,658 355,829 1,067,488 533,744 266,872 133,436 66,718 33,359 100,078 50,039 150,118 75,059 225,178 112,589 337,768 168,884 84,442 42,221 126,664 63,332 31,666 15,833 47,500 23,750 11,875 35,626 17,813 53,440 26,720 13,360 6,680 3,340 1,670 835 2,506 1,253 3,760 1,880 940 470 235 706 353 1,060 530 265 796 398 199 598 299 898 449 1,348 674 337 1,012 506

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