82,005,207

3 × 41 × 73 × 9133

82,005,207 factors as 3 × 41 × 73 × 9133. Its 16 positive divisors give a proper-divisor sum of 31,548,681, so this integer is deficient. The Collatz stopping time is 241 steps.

Prime Factor Structure

Factorization String 3 × 41 × 73 × 9133

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 113,553,888

Proper Divisor Sum 31,548,681

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #82005179 ← → #82005211

Radix Representation

Decimal	82005207
Binary	100111000110100110011010111 (27 bits)
Octal	0o470646327
Hexadecimal	0x4E34CD7

Divisor Catalog (16)

1 3 41 73 123 219 2,993 8,979 9,133 27,399 374,453 666,709 1,123,359 2,000,127 27,335,069 82,005,207

Collatz Trajectory (241 steps to reach 1)

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

82,005,207 246,015,622 123,007,811 369,023,434 184,511,717 553,535,152 276,767,576 138,383,788 69,191,894 34,595,947 103,787,842 51,893,921 155,681,764 77,840,882 38,920,441 116,761,324 58,380,662 29,190,331 87,570,994 43,785,497 131,356,492 65,678,246 32,839,123 98,517,370 49,258,685 147,776,056 73,888,028 36,944,014 18,472,007 55,416,022 27,708,011 83,124,034 41,562,017 124,686,052 62,343,026 31,171,513 93,514,540 46,757,270 23,378,635 70,135,906 35,067,953 105,203,860 52,601,930 26,300,965 78,902,896 39,451,448 19,725,724 9,862,862 4,931,431 14,794,294 7,397,147 22,191,442 11,095,721 33,287,164 16,643,582 8,321,791 24,965,374 12,482,687 37,448,062 18,724,031

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