850,176

2⁸ × 3⁴ × 41

850,176 factors as 2^8 × 3^4 × 41. Its 90 positive divisors give a proper-divisor sum of 1,746,726, so this integer is abundant. The Collatz stopping time is 113 steps.

Prime Factor Structure

Factorization String 2^8 × 3^4 × 41

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 90

Divisor Sum (σ) 2,596,902

Proper Divisor Sum 1,746,726

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #850147 ← → #850177

Radix Representation

Decimal	850176
Binary	11001111100100000000 (20 bits)
Octal	0o3174400
Hexadecimal	0xCF900

Divisor Catalog (60 of 90)

1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 64 72 81 82 96 108 123 128 144 162 164 192 216 246 256 288 324 328 369 384 432 492 576 648 656 738 768 864 984 1,107 1,152 1,296 1,312 1,476 1,728 1,968 2,214 2,304 2,592 2,624 2,952 3,321 3,456

Collatz Trajectory (113 steps to reach 1)

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

850,176 425,088 212,544 106,272 53,136 26,568 13,284 6,642 3,321 9,964 4,982 2,491 7,474 3,737 11,212 5,606 2,803 8,410 4,205 12,616 6,308 3,154 1,577 4,732 2,366 1,183 3,550 1,775 5,326 2,663 7,990 3,995 11,986 5,993 17,980 8,990 4,495 13,486 6,743 20,230 10,115 30,346 15,173 45,520 22,760 11,380 5,690 2,845 8,536 4,268 2,134 1,067 3,202 1,601 4,804 2,402 1,201 3,604 1,802 901

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