8,831,228

2² × 7 × 17 × 18553

8,831,228 factors as 2^2 × 7 × 17 × 18553. Its 24 positive divisors give a proper-divisor sum of 9,871,204, so this integer is abundant. The Collatz stopping time is 168 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 17 × 18553

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 18,702,432

Proper Divisor Sum 9,871,204

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #8831213 ← → #8831233

Radix Representation

Decimal	8831228
Binary	100001101100000011111100 (24 bits)
Octal	0o41540374
Hexadecimal	0x86C0FC

Divisor Catalog (24)

1 2 4 7 14 17 28 34 68 119 238 476 18,553 37,106 74,212 129,871 259,742 315,401 519,484 630,802 1,261,604 2,207,807 4,415,614 8,831,228

Collatz Trajectory (168 steps to reach 1)

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

8,831,228 4,415,614 2,207,807 6,623,422 3,311,711 9,935,134 4,967,567 14,902,702 7,451,351 22,354,054 11,177,027 33,531,082 16,765,541 50,296,624 25,148,312 12,574,156 6,287,078 3,143,539 9,430,618 4,715,309 14,145,928 7,072,964 3,536,482 1,768,241 5,304,724 2,652,362 1,326,181 3,978,544 1,989,272 994,636 497,318 248,659 745,978 372,989 1,118,968 559,484 279,742 139,871 419,614 209,807 629,422 314,711 944,134 472,067 1,416,202 708,101 2,124,304 1,062,152 531,076 265,538 132,769 398,308 199,154 99,577 298,732 149,366 74,683 224,050 112,025 336,076

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