450,693

3² × 50077

450,693 factors as 3^2 × 50077. Its 6 positive divisors give a proper-divisor sum of 200,321, so this integer is deficient. The Collatz stopping time is 112 steps.

Prime Factor Structure

Factorization String 3^2 × 50077

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 651,014

Proper Divisor Sum 200,321

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #450691 ← → #450707

Radix Representation

Decimal	450693
Binary	1101110000010000101 (19 bits)
Octal	0o1560205
Hexadecimal	0x6E085

Divisor Catalog (6)

1 3 9 50,077 150,231 450,693

Collatz Trajectory (112 steps to reach 1)

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

450,693 1,352,080 676,040 338,020 169,010 84,505 253,516 126,758 63,379 190,138 95,069 285,208 142,604 71,302 35,651 106,954 53,477 160,432 80,216 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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