8,316,024

2³ × 3 × 346501

8,316,024 factors as 2^3 × 3 × 346501. Its 16 positive divisors give a proper-divisor sum of 12,474,096, so this integer is abundant. The Collatz stopping time is 155 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 346501

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 20,790,120

Proper Divisor Sum 12,474,096

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #8316001 ← → #8316047

Radix Representation

Decimal	8316024
Binary	11111101110010001111000 (23 bits)
Octal	0o37562170
Hexadecimal	0x7EE478

Divisor Catalog (16)

1 2 3 4 6 8 12 24 346,501 693,002 1,039,503 1,386,004 2,079,006 2,772,008 4,158,012 8,316,024

Collatz Trajectory (155 steps to reach 1)

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

8,316,024 4,158,012 2,079,006 1,039,503 3,118,510 1,559,255 4,677,766 2,338,883 7,016,650 3,508,325 10,524,976 5,262,488 2,631,244 1,315,622 657,811 1,973,434 986,717 2,960,152 1,480,076 740,038 370,019 1,110,058 555,029 1,665,088 832,544 416,272 208,136 104,068 52,034 26,017 78,052 39,026 19,513 58,540 29,270 14,635 43,906 21,953 65,860 32,930 16,465 49,396 24,698 12,349 37,048 18,524 9,262 4,631 13,894 6,947 20,842 10,421 31,264 15,632 7,816 3,908 1,954 977 2,932 1,466

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