452,845

5 × 41 × 47²

452,845 factors as 5 × 41 × 47^2. Its 12 positive divisors give a proper-divisor sum of 115,919, so this integer is deficient. The Collatz stopping time is 112 steps.

Prime Factor Structure

Factorization String 5 × 41 × 47^2

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 568,764

Proper Divisor Sum 115,919

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #452831 ← → #452857

Radix Representation

Decimal	452845
Binary	1101110100011101101 (19 bits)
Octal	0o1564355
Hexadecimal	0x6E8ED

Divisor Catalog (12)

1 5 41 47 205 235 1,927 2,209 9,635 11,045 90,569 452,845

Collatz Trajectory (112 steps to reach 1)

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

452,845 1,358,536 679,268 339,634 169,817 509,452 254,726 127,363 382,090 191,045 573,136 286,568 143,284 71,642 35,821 107,464 53,732 26,866 13,433 40,300 20,150 10,075 30,226 15,113 45,340 22,670 11,335 34,006 17,003 51,010 25,505 76,516 38,258 19,129 57,388 28,694 14,347 43,042 21,521 64,564 32,282 16,141 48,424 24,212 12,106 6,053 18,160 9,080 4,540 2,270 1,135 3,406 1,703 5,110 2,555 7,666 3,833 11,500 5,750 2,875

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