8,227,625

5³ × 7 × 9403

For 8,227,625, the 16 positive divisors have a total of 11,736,192. Removing 8,227,625 leaves 3,508,567, which gives the deficient classification.

Prime Factor Structure

Factorization String 5^3 × 7 × 9403

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 11,736,192

Proper Divisor Sum 3,508,567

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #8227621 ← → #8227633

Radix Representation

Decimal	8227625
Binary	11111011000101100101001 (23 bits)
Octal	0o37305451
Hexadecimal	0x7D8B29

Divisor Catalog (16)

1 5 7 25 35 125 175 875 9,403 47,015 65,821 235,075 329,105 1,175,375 1,645,525 8,227,625

Collatz Trajectory (142 steps to reach 1)

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

8,227,625 24,682,876 12,341,438 6,170,719 18,512,158 9,256,079 27,768,238 13,884,119 41,652,358 20,826,179 62,478,538 31,239,269 93,717,808 46,858,904 23,429,452 11,714,726 5,857,363 17,572,090 8,786,045 26,358,136 13,179,068 6,589,534 3,294,767 9,884,302 4,942,151 14,826,454 7,413,227 22,239,682 11,119,841 33,359,524 16,679,762 8,339,881 25,019,644 12,509,822 6,254,911 18,764,734 9,382,367 28,147,102 14,073,551 42,220,654 21,110,327 63,330,982 31,665,491 94,996,474 47,498,237 142,494,712 71,247,356 35,623,678 17,811,839 53,435,518 26,717,759 80,153,278 40,076,639 120,229,918 60,114,959 180,344,878 90,172,439 270,517,318 135,258,659 405,775,978

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