76,108,193

7 × 31 × 350729

76,108,193 factors as 7 × 31 × 350729. Its 8 positive divisors give a proper-divisor sum of 13,678,687, so this integer is deficient. The Collatz stopping time is 303 steps.

Prime Factor Structure

Factorization String 7 × 31 × 350729

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 89,786,880

Proper Divisor Sum 13,678,687

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #76108189 ← → #76108211

Radix Representation

Decimal	76108193
Binary	100100010010101000110100001 (27 bits)
Octal	0o442250641
Hexadecimal	0x48951A1

Divisor Catalog (8)

1 7 31 217 350,729 2,455,103 10,872,599 76,108,193

Collatz Trajectory (303 steps to reach 1)

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

76,108,193 228,324,580 114,162,290 57,081,145 171,243,436 85,621,718 42,810,859 128,432,578 64,216,289 192,648,868 96,324,434 48,162,217 144,486,652 72,243,326 36,121,663 108,364,990 54,182,495 162,547,486 81,273,743 243,821,230 121,910,615 365,731,846 182,865,923 548,597,770 274,298,885 822,896,656 411,448,328 205,724,164 102,862,082 51,431,041 154,293,124 77,146,562 38,573,281 115,719,844 57,859,922 28,929,961 86,789,884 43,394,942 21,697,471 65,092,414 32,546,207 97,638,622 48,819,311 146,457,934 73,228,967 219,686,902 109,843,451 329,530,354 164,765,177 494,295,532 247,147,766 123,573,883 370,721,650 185,360,825 556,082,476 278,041,238 139,020,619 417,061,858 208,530,929 625,592,788

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