8,010,028

2² × 13 × 31 × 4969

For 8,010,028, the 24 positive divisors have a total of 15,585,920. Removing 8,010,028 leaves 7,575,892, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^2 × 13 × 31 × 4969

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 15,585,920

Proper Divisor Sum 7,575,892

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #8010011 ← → #8010029

Radix Representation

Decimal	8010028
Binary	11110100011100100101100 (23 bits)
Octal	0o36434454
Hexadecimal	0x7A392C

Divisor Catalog (24)

1 2 4 13 26 31 52 62 124 403 806 1,612 4,969 9,938 19,876 64,597 129,194 154,039 258,388 308,078 616,156 2,002,507 4,005,014 8,010,028

Collatz Trajectory (186 steps to reach 1)

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

8,010,028 4,005,014 2,002,507 6,007,522 3,003,761 9,011,284 4,505,642 2,252,821 6,758,464 3,379,232 1,689,616 844,808 422,404 211,202 105,601 316,804 158,402 79,201 237,604 118,802 59,401 178,204 89,102 44,551 133,654 66,827 200,482 100,241 300,724 150,362 75,181 225,544 112,772 56,386 28,193 84,580 42,290 21,145 63,436 31,718 15,859 47,578 23,789 71,368 35,684 17,842 8,921 26,764 13,382 6,691 20,074 10,037 30,112 15,056 7,528 3,764 1,882 941 2,824 1,412

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