877,505

5 × 223 × 787

877,505 factors as 5 × 223 × 787. Its 8 positive divisors give a proper-divisor sum of 181,567, so this integer is deficient. The Collatz stopping time is 144 steps.

Prime Factor Structure

Factorization String 5 × 223 × 787

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,059,072

Proper Divisor Sum 181,567

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #877469 ← → #877531

Radix Representation

Decimal	877505
Binary	11010110001111000001 (20 bits)
Octal	0o3261701
Hexadecimal	0xD63C1

Divisor Catalog (8)

1 5 223 787 1,115 3,935 175,501 877,505

Collatz Trajectory (144 steps to reach 1)

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

877,505 2,632,516 1,316,258 658,129 1,974,388 987,194 493,597 1,480,792 740,396 370,198 185,099 555,298 277,649 832,948 416,474 208,237 624,712 312,356 156,178 78,089 234,268 117,134 58,567 175,702 87,851 263,554 131,777 395,332 197,666 98,833 296,500 148,250 74,125 222,376 111,188 55,594 27,797 83,392 41,696 20,848 10,424 5,212 2,606 1,303 3,910 1,955 5,866 2,933 8,800 4,400 2,200 1,100 550 275 826 413 1,240 620 310 155

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