242,484

2² × 3 × 11² × 167

For 242,484, the 36 positive divisors have a total of 625,632. Removing 242,484 leaves 383,148, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 3 × 11^2 × 167

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 625,632

Proper Divisor Sum 383,148

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #242483 ← → #242491

Radix Representation

Decimal	242484
Binary	111011001100110100 (18 bits)
Octal	0o731464
Hexadecimal	0x3B334

Divisor Catalog (36)

1 2 3 4 6 11 12 22 33 44 66 121 132 167 242 334 363 484 501 668 726 1,002 1,452 1,837 2,004 3,674 5,511 7,348 11,022 20,207 22,044 40,414 60,621 80,828 121,242 242,484

Collatz Trajectory (88 steps to reach 1)

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

242,484 121,242 60,621 181,864 90,932 45,466 22,733 68,200 34,100 17,050 8,525 25,576 12,788 6,394 3,197 9,592 4,796 2,398 1,199 3,598 1,799 5,398 2,699 8,098 4,049 12,148 6,074 3,037 9,112 4,556 2,278 1,139 3,418 1,709 5,128 2,564 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43

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