4,202,775

3² × 5² × 18679

4,202,775 factors as 3^2 × 5^2 × 18679. Its 18 positive divisors give a proper-divisor sum of 3,325,265, so this integer is deficient. The Collatz stopping time is 128 steps.

Prime Factor Structure

Factorization String 3^2 × 5^2 × 18679

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 7,528,040

Proper Divisor Sum 3,325,265

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #4202773 ← → #4202789

Radix Representation

Decimal	4202775
Binary	10000000010000100010111 (23 bits)
Octal	0o20020427
Hexadecimal	0x402117

Divisor Catalog (18)

1 3 5 9 15 25 45 75 225 18,679 56,037 93,395 168,111 280,185 466,975 840,555 1,400,925 4,202,775

Collatz Trajectory (128 steps to reach 1)

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

4,202,775 12,608,326 6,304,163 18,912,490 9,456,245 28,368,736 14,184,368 7,092,184 3,546,092 1,773,046 886,523 2,659,570 1,329,785 3,989,356 1,994,678 997,339 2,992,018 1,496,009 4,488,028 2,244,014 1,122,007 3,366,022 1,683,011 5,049,034 2,524,517 7,573,552 3,786,776 1,893,388 946,694 473,347 1,420,042 710,021 2,130,064 1,065,032 532,516 266,258 133,129 399,388 199,694 99,847 299,542 149,771 449,314 224,657 673,972 336,986 168,493 505,480 252,740 126,370 63,185 189,556 94,778 47,389 142,168 71,084 35,542 17,771 53,314 26,657

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