8,028,099

3³ × 29 × 10253

8,028,099 factors as 3^3 × 29 × 10253. Its 16 positive divisors give a proper-divisor sum of 4,276,701, so this integer is deficient. The Collatz stopping time is 217 steps.

Prime Factor Structure

Factorization String 3^3 × 29 × 10253

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 12,304,800

Proper Divisor Sum 4,276,701

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #8028077 ← → #8028107

Radix Representation

Decimal	8028099
Binary	11110100111111111000011 (23 bits)
Octal	0o36477703
Hexadecimal	0x7A7FC3

Divisor Catalog (16)

1 3 9 27 29 87 261 783 10,253 30,759 92,277 276,831 297,337 892,011 2,676,033 8,028,099

Collatz Trajectory (217 steps to reach 1)

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

8,028,099 24,084,298 12,042,149 36,126,448 18,063,224 9,031,612 4,515,806 2,257,903 6,773,710 3,386,855 10,160,566 5,080,283 15,240,850 7,620,425 22,861,276 11,430,638 5,715,319 17,145,958 8,572,979 25,718,938 12,859,469 38,578,408 19,289,204 9,644,602 4,822,301 14,466,904 7,233,452 3,616,726 1,808,363 5,425,090 2,712,545 8,137,636 4,068,818 2,034,409 6,103,228 3,051,614 1,525,807 4,577,422 2,288,711 6,866,134 3,433,067 10,299,202 5,149,601 15,448,804 7,724,402 3,862,201 11,586,604 5,793,302 2,896,651 8,689,954 4,344,977 13,034,932 6,517,466 3,258,733 9,776,200 4,888,100 2,444,050 1,222,025 3,666,076 1,833,038

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