882,153

3² × 98017

882,153 factors as 3^2 × 98017. Its 6 positive divisors give a proper-divisor sum of 392,081, so this integer is deficient. The Collatz stopping time is 188 steps.

Prime Factor Structure

Factorization String 3^2 × 98017

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 1,274,234

Proper Divisor Sum 392,081

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #882139 ← → #882157

Radix Representation

Decimal	882153
Binary	11010111010111101001 (20 bits)
Octal	0o3272751
Hexadecimal	0xD75E9

Divisor Catalog (6)

1 3 9 98,017 294,051 882,153

Collatz Trajectory (188 steps to reach 1)

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

882,153 2,646,460 1,323,230 661,615 1,984,846 992,423 2,977,270 1,488,635 4,465,906 2,232,953 6,698,860 3,349,430 1,674,715 5,024,146 2,512,073 7,536,220 3,768,110 1,884,055 5,652,166 2,826,083 8,478,250 4,239,125 12,717,376 6,358,688 3,179,344 1,589,672 794,836 397,418 198,709 596,128 298,064 149,032 74,516 37,258 18,629 55,888 27,944 13,972 6,986 3,493 10,480 5,240 2,620 1,310 655 1,966 983 2,950 1,475 4,426 2,213 6,640 3,320 1,660 830 415 1,246 623 1,870 935

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