8,040,928

2⁵ × 7 × 35897

8,040,928 factors as 2^5 × 7 × 35897. Its 24 positive divisors give a proper-divisor sum of 10,051,664, so this integer is abundant. The Collatz stopping time is 93 steps.

Prime Factor Structure

Factorization String 2^5 × 7 × 35897

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 18,092,592

Proper Divisor Sum 10,051,664

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #8040919 ← → #8040931

Radix Representation

Decimal	8040928
Binary	11110101011000111100000 (23 bits)
Octal	0o36530740
Hexadecimal	0x7AB1E0

Divisor Catalog (24)

Collatz Trajectory (93 steps to reach 1)

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

8,040,928 4,020,464 2,010,232 1,005,116 502,558 251,279 753,838 376,919 1,130,758 565,379 1,696,138 848,069 2,544,208 1,272,104 636,052 318,026 159,013 477,040 238,520 119,260 59,630 29,815 89,446 44,723 134,170 67,085 201,256 100,628 50,314 25,157 75,472 37,736 18,868 9,434 4,717 14,152 7,076 3,538 1,769 5,308 2,654 1,327 3,982 1,991 5,974 2,987 8,962 4,481 13,444 6,722 3,361 10,084 5,042 2,521 7,564 3,782 1,891 5,674 2,837 8,512

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