450,705

3 × 5 × 30047

450,705 factors as 3 × 5 × 30047. Its 8 positive divisors give a proper-divisor sum of 270,447, so this integer is deficient. The Collatz stopping time is 112 steps.

Prime Factor Structure

Factorization String 3 × 5 × 30047

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 721,152

Proper Divisor Sum 270,447

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #450691 ← → #450707

Radix Representation

Decimal	450705
Binary	1101110000010010001 (19 bits)
Octal	0o1560221
Hexadecimal	0x6E091

Divisor Catalog (8)

1 3 5 15 30,047 90,141 150,235 450,705

Collatz Trajectory (112 steps to reach 1)

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

450,705 1,352,116 676,058 338,029 1,014,088 507,044 253,522 126,761 380,284 190,142 95,071 285,214 142,607 427,822 213,911 641,734 320,867 962,602 481,301 1,443,904 721,952 360,976 180,488 90,244 45,122 22,561 67,684 33,842 16,921 50,764 25,382 12,691 38,074 19,037 57,112 28,556 14,278 7,139 21,418 10,709 32,128 16,064 8,032 4,016 2,008 1,004 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479

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