8,752,005

3² × 5 × 43 × 4523

8,752,005 factors as 3^2 × 5 × 43 × 4523. Its 24 positive divisors give a proper-divisor sum of 6,774,363, so this integer is deficient. The Collatz stopping time is 181 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 43 × 4523

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 15,526,368

Proper Divisor Sum 6,774,363

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #8751973 ← → #8752031

Radix Representation

Decimal	8752005
Binary	100001011000101110000101 (24 bits)
Octal	0o41305605
Hexadecimal	0x858B85

Divisor Catalog (24)

Collatz Trajectory (181 steps to reach 1)

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

8,752,005 26,256,016 13,128,008 6,564,004 3,282,002 1,641,001 4,923,004 2,461,502 1,230,751 3,692,254 1,846,127 5,538,382 2,769,191 8,307,574 4,153,787 12,461,362 6,230,681 18,692,044 9,346,022 4,673,011 14,019,034 7,009,517 21,028,552 10,514,276 5,257,138 2,628,569 7,885,708 3,942,854 1,971,427 5,914,282 2,957,141 8,871,424 4,435,712 2,217,856 1,108,928 554,464 277,232 138,616 69,308 34,654 17,327 51,982 25,991 77,974 38,987 116,962 58,481 175,444 87,722 43,861 131,584 65,792 32,896 16,448 8,224 4,112 2,056 1,028 514 257

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