453,000

2³ × 3 × 5³ × 151

453,000 factors as 2^3 × 3 × 5^3 × 151. Its 64 positive divisors give a proper-divisor sum of 969,720, so this integer is abundant. The Collatz stopping time is 262 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 5^3 × 151

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 1,422,720

Proper Divisor Sum 969,720

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #452989 ← → #453023

Radix Representation

Decimal	453000
Binary	1101110100110001000 (19 bits)
Octal	0o1564610
Hexadecimal	0x6E988

Divisor Catalog (60 of 64)

1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 151 200 250 300 302 375 453 500 600 604 750 755 906 1,000 1,208 1,500 1,510 1,812 2,265 3,000 3,020 3,624 3,775 4,530 6,040 7,550 9,060 11,325 15,100 18,120 18,875 22,650 30,200 37,750 45,300 56,625 75,500 90,600

Collatz Trajectory (262 steps to reach 1)

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

453,000 226,500 113,250 56,625 169,876 84,938 42,469 127,408 63,704 31,852 15,926 7,963 23,890 11,945 35,836 17,918 8,959 26,878 13,439 40,318 20,159 60,478 30,239 90,718 45,359 136,078 68,039 204,118 102,059 306,178 153,089 459,268 229,634 114,817 344,452 172,226 86,113 258,340 129,170 64,585 193,756 96,878 48,439 145,318 72,659 217,978 108,989 326,968 163,484 81,742 40,871 122,614 61,307 183,922 91,961 275,884 137,942 68,971 206,914 103,457

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