450,948

2² × 3 × 37579

450,948 factors as 2^2 × 3 × 37579. Its 12 positive divisors give a proper-divisor sum of 601,292, so this integer is abundant. The Collatz stopping time is 112 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 37579

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,052,240

Proper Divisor Sum 601,292

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #450943 ← → #450949

Radix Representation

Decimal	450948
Binary	1101110000110000100 (19 bits)
Octal	0o1560604
Hexadecimal	0x6E184

Divisor Catalog (12)

1 2 3 4 6 12 37,579 75,158 112,737 150,316 225,474 450,948

Collatz Trajectory (112 steps to reach 1)

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

450,948 225,474 112,737 338,212 169,106 84,553 253,660 126,830 63,415 190,246 95,123 285,370 142,685 428,056 214,028 107,014 53,507 160,522 80,261 240,784 120,392 60,196 30,098 15,049 45,148 22,574 11,287 33,862 16,931 50,794 25,397 76,192 38,096 19,048 9,524 4,762 2,381 7,144 3,572 1,786 893 2,680 1,340 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276 638 319 958 479

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