8,164,248

2³ × 3 × 41 × 8297

8,164,248 has the prime decomposition 2^3 × 3 × 41 × 8297. Its 4 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 41 × 8297

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 20,910,960

Proper Divisor Sum 12,746,712

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #8164217 ← → #8164249

Radix Representation

Decimal	8164248
Binary	11111001001001110011000 (23 bits)
Octal	0o37111630
Hexadecimal	0x7C9398

Divisor Catalog (32)

1 2 3 4 6 8 12 24 41 82 123 164 246 328 492 984 8,297 16,594 24,891 33,188 49,782 66,376 99,564 199,128 340,177 680,354 1,020,531 1,360,708 2,041,062 2,721,416 4,082,124 8,164,248

Collatz Trajectory (124 steps to reach 1)

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

8,164,248 4,082,124 2,041,062 1,020,531 3,061,594 1,530,797 4,592,392 2,296,196 1,148,098 574,049 1,722,148 861,074 430,537 1,291,612 645,806 322,903 968,710 484,355 1,453,066 726,533 2,179,600 1,089,800 544,900 272,450 136,225 408,676 204,338 102,169 306,508 153,254 76,627 229,882 114,941 344,824 172,412 86,206 43,103 129,310 64,655 193,966 96,983 290,950 145,475 436,426 218,213 654,640 327,320 163,660 81,830 40,915 122,746 61,373 184,120 92,060 46,030 23,015 69,046 34,523 103,570 51,785

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