448,230

2 × 3 × 5 × 67 × 223

448,230 has digital root 3. The neighboring primes are 448207 and 448241; its proper-divisor sum differs from the starting integer by 200,244.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 67 × 223

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 1,096,704

Proper Divisor Sum 648,474

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #448207 ← → #448241

Radix Representation

Decimal	448230
Binary	1101101011011100110 (19 bits)
Octal	0o1553346
Hexadecimal	0x6D6E6

Divisor Catalog (32)

1 2 3 5 6 10 15 30 67 134 201 223 335 402 446 669 670 1,005 1,115 1,338 2,010 2,230 3,345 6,690 14,941 29,882 44,823 74,705 89,646 149,410 224,115 448,230

Collatz Trajectory (37 steps to reach 1)

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

448,230 224,115 672,346 336,173 1,008,520 504,260 252,130 126,065 378,196 189,098 94,549 283,648 141,824 70,912 35,456 17,728 8,864 4,432 2,216 1,108 554 277 832 416 208 104 52 26 13 40 20 10 5 16 8 4 2 1

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