882,198

2 × 3³ × 17 × 31²

882,198 factors as 2 × 3^3 × 17 × 31^2. Its 48 positive divisors give a proper-divisor sum of 1,262,682, so this integer is abundant. The Collatz stopping time is 170 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 17 × 31^2

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 2,144,880

Proper Divisor Sum 1,262,682

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #882187 ← → #882199

Radix Representation

Decimal	882198
Binary	11010111011000010110 (20 bits)
Octal	0o3273026
Hexadecimal	0xD7616

Divisor Catalog (48)

1 2 3 6 9 17 18 27 31 34 51 54 62 93 102 153 186 279 306 459 527 558 837 918 961 1,054 1,581 1,674 1,922 2,883 3,162 4,743 5,766 8,649 9,486 14,229 16,337 17,298 25,947 28,458 32,674 49,011 51,894 98,022 147,033 294,066 441,099 882,198

Collatz Trajectory (170 steps to reach 1)

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

882,198 441,099 1,323,298 661,649 1,984,948 992,474 496,237 1,488,712 744,356 372,178 186,089 558,268 279,134 139,567 418,702 209,351 628,054 314,027 942,082 471,041 1,413,124 706,562 353,281 1,059,844 529,922 264,961 794,884 397,442 198,721 596,164 298,082 149,041 447,124 223,562 111,781 335,344 167,672 83,836 41,918 20,959 62,878 31,439 94,318 47,159 141,478 70,739 212,218 106,109 318,328 159,164 79,582 39,791 119,374 59,687 179,062 89,531 268,594 134,297 402,892 201,446

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