3,979,138

2 × 23² × 3761

3,979,138 factors as 2 × 23^2 × 3761. Its 12 positive divisors give a proper-divisor sum of 2,262,020, so this integer is deficient. The Collatz stopping time is 167 steps.

Prime Factor Structure

Factorization String 2 × 23^2 × 3761

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,241,158

Proper Divisor Sum 2,262,020

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #3979133 ← → #3979141

Radix Representation

Decimal	3979138
Binary	1111001011011110000010 (22 bits)
Octal	0o17133602
Hexadecimal	0x3CB782

Divisor Catalog (12)

1 2 23 46 529 1,058 3,761 7,522 86,503 173,006 1,989,569 3,979,138

Collatz Trajectory (167 steps to reach 1)

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

3,979,138 1,989,569 5,968,708 2,984,354 1,492,177 4,476,532 2,238,266 1,119,133 3,357,400 1,678,700 839,350 419,675 1,259,026 629,513 1,888,540 944,270 472,135 1,416,406 708,203 2,124,610 1,062,305 3,186,916 1,593,458 796,729 2,390,188 1,195,094 597,547 1,792,642 896,321 2,688,964 1,344,482 672,241 2,016,724 1,008,362 504,181 1,512,544 756,272 378,136 189,068 94,534 47,267 141,802 70,901 212,704 106,352 53,176 26,588 13,294 6,647 19,942 9,971 29,914 14,957 44,872 22,436 11,218 5,609 16,828 8,414 4,207

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