3,978,447

3 × 11 × 31 × 3889

3,978,447 factors as 3 × 11 × 31 × 3889. Its 16 positive divisors give a proper-divisor sum of 1,996,593, so this integer is deficient. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 3 × 11 × 31 × 3889

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,975,040

Proper Divisor Sum 1,996,593

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #3978433 ← → #3978451

Radix Representation

Decimal	3978447
Binary	1111001011010011001111 (22 bits)
Octal	0o17132317
Hexadecimal	0x3CB4CF

Divisor Catalog (16)

1 3 11 31 33 93 341 1,023 3,889 11,667 42,779 120,559 128,337 361,677 1,326,149 3,978,447

Collatz Trajectory (123 steps to reach 1)

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

3,978,447 11,935,342 5,967,671 17,903,014 8,951,507 26,854,522 13,427,261 40,281,784 20,140,892 10,070,446 5,035,223 15,105,670 7,552,835 22,658,506 11,329,253 33,987,760 16,993,880 8,496,940 4,248,470 2,124,235 6,372,706 3,186,353 9,559,060 4,779,530 2,389,765 7,169,296 3,584,648 1,792,324 896,162 448,081 1,344,244 672,122 336,061 1,008,184 504,092 252,046 126,023 378,070 189,035 567,106 283,553 850,660 425,330 212,665 637,996 318,998 159,499 478,498 239,249 717,748 358,874 179,437 538,312 269,156 134,578 67,289 201,868 100,934 50,467 151,402

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