88,318,228

2² × 107 × 206351

88,318,228 factors as 2^2 × 107 × 206351. Its 12 positive divisors give a proper-divisor sum of 67,683,884, so this integer is deficient. The Collatz stopping time is 161 steps.

Prime Factor Structure

Factorization String 2^2 × 107 × 206351

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 156,002,112

Proper Divisor Sum 67,683,884

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #88318211 ← → #88318267

Radix Representation

Decimal	88318228
Binary	101010000111010000100010100 (27 bits)
Octal	0o520720424
Hexadecimal	0x543A114

Divisor Catalog (12)

1 2 4 107 214 428 206,351 412,702 825,404 22,079,557 44,159,114 88,318,228

Collatz Trajectory (161 steps to reach 1)

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

88,318,228 44,159,114 22,079,557 66,238,672 33,119,336 16,559,668 8,279,834 4,139,917 12,419,752 6,209,876 3,104,938 1,552,469 4,657,408 2,328,704 1,164,352 582,176 291,088 145,544 72,772 36,386 18,193 54,580 27,290 13,645 40,936 20,468 10,234 5,117 15,352 7,676 3,838 1,919 5,758 2,879 8,638 4,319 12,958 6,479 19,438 9,719 29,158 14,579 43,738 21,869 65,608 32,804 16,402 8,201 24,604 12,302 6,151 18,454 9,227 27,682 13,841 41,524 20,762 10,381 31,144 15,572

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