3,979,382

2 × 11 × 277 × 653

3,979,382 factors as 2 × 11 × 277 × 653. Its 16 positive divisors give a proper-divisor sum of 2,565,850, so this integer is deficient. The Collatz stopping time is 167 steps.

Prime Factor Structure

Factorization String 2 × 11 × 277 × 653

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,545,232

Proper Divisor Sum 2,565,850

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #3979363 ← → #3979427

Radix Representation

Decimal	3979382
Binary	1111001011100001110110 (22 bits)
Octal	0o17134166
Hexadecimal	0x3CB876

Divisor Catalog (16)

1 2 11 22 277 554 653 1,306 3,047 6,094 7,183 14,366 180,881 361,762 1,989,691 3,979,382

Collatz Trajectory (167 steps to reach 1)

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

3,979,382 1,989,691 5,969,074 2,984,537 8,953,612 4,476,806 2,238,403 6,715,210 3,357,605 10,072,816 5,036,408 2,518,204 1,259,102 629,551 1,888,654 944,327 2,832,982 1,416,491 4,249,474 2,124,737 6,374,212 3,187,106 1,593,553 4,780,660 2,390,330 1,195,165 3,585,496 1,792,748 896,374 448,187 1,344,562 672,281 2,016,844 1,008,422 504,211 1,512,634 756,317 2,268,952 1,134,476 567,238 283,619 850,858 425,429 1,276,288 638,144 319,072 159,536 79,768 39,884 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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