242,498

2 × 29 × 37 × 113

For 242,498, the 16 positive divisors have a total of 389,880. Removing 242,498 leaves 147,382, which gives the deficient classification.

Prime Factor Structure

Factorization String 2 × 29 × 37 × 113

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 389,880

Proper Divisor Sum 147,382

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #242491 ← → #242509

Radix Representation

Decimal	242498
Binary	111011001101000010 (18 bits)
Octal	0o731502
Hexadecimal	0x3B342

Divisor Catalog (16)

1 2 29 37 58 74 113 226 1,073 2,146 3,277 4,181 6,554 8,362 121,249 242,498

Collatz Trajectory (75 steps to reach 1)

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

242,498 121,249 363,748 181,874 90,937 272,812 136,406 68,203 204,610 102,305 306,916 153,458 76,729 230,188 115,094 57,547 172,642 86,321 258,964 129,482 64,741 194,224 97,112 48,556 24,278 12,139 36,418 18,209 54,628 27,314 13,657 40,972 20,486 10,243 30,730 15,365 46,096 23,048 11,524 5,762 2,881 8,644 4,322 2,161 6,484 3,242 1,621 4,864 2,432 1,216 608 304 152 76 38 19 58 29 88 44

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