3,989,166

2 × 3 × 23 × 137 × 211

3,989,166 factors as 2 × 3 × 23 × 137 × 211. Its 32 positive divisors give a proper-divisor sum of 4,436,562, so this integer is abundant. The Collatz stopping time is 79 steps.

Prime Factor Structure

Factorization String 2 × 3 × 23 × 137 × 211

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 8,425,728

Proper Divisor Sum 4,436,562

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #3989159 ← → #3989171

Radix Representation

Decimal	3989166
Binary	1111001101111010101110 (22 bits)
Octal	0o17157256
Hexadecimal	0x3CDEAE

Divisor Catalog (32)

Collatz Trajectory (79 steps to reach 1)

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

3,989,166 1,994,583 5,983,750 2,991,875 8,975,626 4,487,813 13,463,440 6,731,720 3,365,860 1,682,930 841,465 2,524,396 1,262,198 631,099 1,893,298 946,649 2,839,948 1,419,974 709,987 2,129,962 1,064,981 3,194,944 1,597,472 798,736 399,368 199,684 99,842 49,921 149,764 74,882 37,441 112,324 56,162 28,081 84,244 42,122 21,061 63,184 31,592 15,796 7,898 3,949 11,848 5,924 2,962 1,481 4,444 2,222 1,111 3,334 1,667 5,002 2,501 7,504 3,752 1,876 938 469 1,408 704

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