450,672

2⁴ × 3 × 41 × 229

450,672 factors as 2^4 × 3 × 41 × 229. Its 40 positive divisors give a proper-divisor sum of 747,168, so this integer is abundant. The Collatz stopping time is 112 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 41 × 229

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 1,197,840

Proper Divisor Sum 747,168

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #450649 ← → #450677

Radix Representation

Decimal	450672
Binary	1101110000001110000 (19 bits)
Octal	0o1560160
Hexadecimal	0x6E070

Divisor Catalog (40)

1 2 3 4 6 8 12 16 24 41 48 82 123 164 229 246 328 458 492 656 687 916 984 1,374 1,832 1,968 2,748 3,664 5,496 9,389 10,992 18,778 28,167 37,556 56,334 75,112 112,668 150,224 225,336 450,672

Collatz Trajectory (112 steps to reach 1)

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

450,672 225,336 112,668 56,334 28,167 84,502 42,251 126,754 63,377 190,132 95,066 47,533 142,600 71,300 35,650 17,825 53,476 26,738 13,369 40,108 20,054 10,027 30,082 15,041 45,124 22,562 11,281 33,844 16,922 8,461 25,384 12,692 6,346 3,173 9,520 4,760 2,380 1,190 595 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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