82,238,429

7 × 13 × 109 × 8291

82,238,429 factors as 7 × 13 × 109 × 8291. Its 16 positive divisors give a proper-divisor sum of 19,919,011, so this integer is deficient. The Collatz stopping time is 60 steps.

Prime Factor Structure

Factorization String 7 × 13 × 109 × 8291

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 102,157,440

Proper Divisor Sum 19,919,011

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #82238423 ← → #82238459

Radix Representation

Decimal	82238429
Binary	100111001101101101111011101 (27 bits)
Octal	0o471555735
Hexadecimal	0x4E6DBDD

Divisor Catalog (16)

1 7 13 91 109 763 1,417 8,291 9,919 58,037 107,783 754,481 903,719 6,326,033 11,748,347 82,238,429

Collatz Trajectory (60 steps to reach 1)

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

82,238,429 246,715,288 123,357,644 61,678,822 30,839,411 92,518,234 46,259,117 138,777,352 69,388,676 34,694,338 17,347,169 52,041,508 26,020,754 13,010,377 39,031,132 19,515,566 9,757,783 29,273,350 14,636,675 43,910,026 21,955,013 65,865,040 32,932,520 16,466,260 8,233,130 4,116,565 12,349,696 6,174,848 3,087,424 1,543,712 771,856 385,928 192,964 96,482 48,241 144,724 72,362 36,181 108,544 54,272 27,136 13,568 6,784 3,392 1,696 848 424 212 106 53 160 80 40 20 10 5 16 8 4 2

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