8,028,076

2² × 7 × 163 × 1759

8,028,076 factors as 2^2 × 7 × 163 × 1759. Its 24 positive divisors give a proper-divisor sum of 8,135,764, so this integer is abundant. The Collatz stopping time is 168 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 163 × 1759

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 16,163,840

Proper Divisor Sum 8,135,764

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #8028061 ← → #8028077

Radix Representation

Decimal	8028076
Binary	11110100111111110101100 (23 bits)
Octal	0o36477654
Hexadecimal	0x7A7FAC

Divisor Catalog (24)

Collatz Trajectory (168 steps to reach 1)

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

8,028,076 4,014,038 2,007,019 6,021,058 3,010,529 9,031,588 4,515,794 2,257,897 6,773,692 3,386,846 1,693,423 5,080,270 2,540,135 7,620,406 3,810,203 11,430,610 5,715,305 17,145,916 8,572,958 4,286,479 12,859,438 6,429,719 19,289,158 9,644,579 28,933,738 14,466,869 43,400,608 21,700,304 10,850,152 5,425,076 2,712,538 1,356,269 4,068,808 2,034,404 1,017,202 508,601 1,525,804 762,902 381,451 1,144,354 572,177 1,716,532 858,266 429,133 1,287,400 643,700 321,850 160,925 482,776 241,388 120,694 60,347 181,042 90,521 271,564 135,782 67,891 203,674 101,837 305,512

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