8,040,132

2² × 3² × 223337

For 8,040,132, the 18 positive divisors have a total of 20,323,758. Removing 8,040,132 leaves 12,283,626, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 223337

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 20,323,758

Proper Divisor Sum 12,283,626

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #8040121 ← → #8040157

Radix Representation

Decimal	8040132
Binary	11110101010111011000100 (23 bits)
Octal	0o36527304
Hexadecimal	0x7AAEC4

Divisor Catalog (18)

1 2 3 4 6 9 12 18 36 223,337 446,674 670,011 893,348 1,340,022 2,010,033 2,680,044 4,020,066 8,040,132

Collatz Trajectory (67 steps to reach 1)

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

8,040,132 4,020,066 2,010,033 6,030,100 3,015,050 1,507,525 4,522,576 2,261,288 1,130,644 565,322 282,661 847,984 423,992 211,996 105,998 52,999 158,998 79,499 238,498 119,249 357,748 178,874 89,437 268,312 134,156 67,078 33,539 100,618 50,309 150,928 75,464 37,732 18,866 9,433 28,300 14,150 7,075 21,226 10,613 31,840 15,920 7,960 3,980 1,990 995 2,986 1,493 4,480 2,240 1,120 560 280 140 70 35 106 53 160 80 40

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