8,552,377

17² × 101 × 293

8,552,377 factors as 17^2 × 101 × 293. Its 12 positive divisors give a proper-divisor sum of 653,939, so this integer is deficient. The Collatz stopping time is 243 steps.

Prime Factor Structure

Factorization String 17^2 × 101 × 293

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 9,206,316

Proper Divisor Sum 653,939

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #8552363 ← → #8552381

Radix Representation

Decimal	8552377
Binary	100000100111111110111001 (24 bits)
Octal	0o40477671
Hexadecimal	0x827FB9

Divisor Catalog (12)

1 17 101 289 293 1,717 4,981 29,189 29,593 84,677 503,081 8,552,377

Collatz Trajectory (243 steps to reach 1)

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

8,552,377 25,657,132 12,828,566 6,414,283 19,242,850 9,621,425 28,864,276 14,432,138 7,216,069 21,648,208 10,824,104 5,412,052 2,706,026 1,353,013 4,059,040 2,029,520 1,014,760 507,380 253,690 126,845 380,536 190,268 95,134 47,567 142,702 71,351 214,054 107,027 321,082 160,541 481,624 240,812 120,406 60,203 180,610 90,305 270,916 135,458 67,729 203,188 101,594 50,797 152,392 76,196 38,098 19,049 57,148 28,574 14,287 42,862 21,431 64,294 32,147 96,442 48,221 144,664 72,332 36,166 18,083 54,250

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