3,978,025

5² × 41 × 3881

3,978,025 factors as 5^2 × 41 × 3881. Its 12 positive divisors give a proper-divisor sum of 1,076,339, so this integer is deficient. The Collatz stopping time is 229 steps.

Prime Factor Structure

Factorization String 5^2 × 41 × 3881

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 5,054,364

Proper Divisor Sum 1,076,339

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #3977999 ← → #3978031

Radix Representation

Decimal	3978025
Binary	1111001011001100101001 (22 bits)
Octal	0o17131451
Hexadecimal	0x3CB329

Divisor Catalog (12)

1 5 25 41 205 1,025 3,881 19,405 97,025 159,121 795,605 3,978,025

Collatz Trajectory (229 steps to reach 1)

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

3,978,025 11,934,076 5,967,038 2,983,519 8,950,558 4,475,279 13,425,838 6,712,919 20,138,758 10,069,379 30,208,138 15,104,069 45,312,208 22,656,104 11,328,052 5,664,026 2,832,013 8,496,040 4,248,020 2,124,010 1,062,005 3,186,016 1,593,008 796,504 398,252 199,126 99,563 298,690 149,345 448,036 224,018 112,009 336,028 168,014 84,007 252,022 126,011 378,034 189,017 567,052 283,526 141,763 425,290 212,645 637,936 318,968 159,484 79,742 39,871 119,614 59,807 179,422 89,711 269,134 134,567 403,702 201,851 605,554 302,777 908,332

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