8,175,216

2⁴ × 3 × 7 × 29 × 839

8,175,216 has the prime decomposition 2^4 × 3 × 7 × 29 × 839. Its 5 distinct prime factors produce 80 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 7 × 29 × 839

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 24,998,400

Proper Divisor Sum 16,823,184

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #8175173 ← → #8175241

Radix Representation

Decimal	8175216
Binary	11111001011111001110000 (23 bits)
Octal	0o37137160
Hexadecimal	0x7CBE70

Divisor Catalog (60 of 80)

1 2 3 4 6 7 8 12 14 16 21 24 28 29 42 48 56 58 84 87 112 116 168 174 203 232 336 348 406 464 609 696 812 839 1,218 1,392 1,624 1,678 2,436 2,517 3,248 3,356 4,872 5,034 5,873 6,712 9,744 10,068 11,746 13,424 17,619 20,136 23,492 24,331 35,238 40,272 46,984 48,662 70,476 72,993

Collatz Trajectory (168 steps to reach 1)

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

8,175,216 4,087,608 2,043,804 1,021,902 510,951 1,532,854 766,427 2,299,282 1,149,641 3,448,924 1,724,462 862,231 2,586,694 1,293,347 3,880,042 1,940,021 5,820,064 2,910,032 1,455,016 727,508 363,754 181,877 545,632 272,816 136,408 68,204 34,102 17,051 51,154 25,577 76,732 38,366 19,183 57,550 28,775 86,326 43,163 129,490 64,745 194,236 97,118 48,559 145,678 72,839 218,518 109,259 327,778 163,889 491,668 245,834 122,917 368,752 184,376 92,188 46,094 23,047 69,142 34,571 103,714 51,857

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