882,117

3³ × 37 × 883

882,117 factors as 3^3 × 37 × 883. Its 16 positive divisors give a proper-divisor sum of 461,563, so this integer is deficient. The Collatz stopping time is 157 steps.

Prime Factor Structure

Factorization String 3^3 × 37 × 883

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,343,680

Proper Divisor Sum 461,563

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #882103 ← → #882139

Radix Representation

Decimal	882117
Binary	11010111010111000101 (20 bits)
Octal	0o3272705
Hexadecimal	0xD75C5

Divisor Catalog (16)

1 3 9 27 37 111 333 883 999 2,649 7,947 23,841 32,671 98,013 294,039 882,117

Collatz Trajectory (157 steps to reach 1)

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

882,117 2,646,352 1,323,176 661,588 330,794 165,397 496,192 248,096 124,048 62,024 31,012 15,506 7,753 23,260 11,630 5,815 17,446 8,723 26,170 13,085 39,256 19,628 9,814 4,907 14,722 7,361 22,084 11,042 5,521 16,564 8,282 4,141 12,424 6,212 3,106 1,553 4,660 2,330 1,165 3,496 1,748 874 437 1,312 656 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161

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