9,888,040

2³ × 5 × 247201

9,888,040 factors as 2^3 × 5 × 247201. Its 16 positive divisors give a proper-divisor sum of 12,360,140, so this integer is abundant. The Collatz stopping time is 220 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 247201

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 22,248,180

Proper Divisor Sum 12,360,140

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #9888031 ← → #9888041

Radix Representation

Decimal	9888040
Binary	100101101110000100101000 (24 bits)
Octal	0o45560450
Hexadecimal	0x96E128

Divisor Catalog (16)

1 2 4 5 8 10 20 40 247,201 494,402 988,804 1,236,005 1,977,608 2,472,010 4,944,020 9,888,040

Collatz Trajectory (220 steps to reach 1)

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

9,888,040 4,944,020 2,472,010 1,236,005 3,708,016 1,854,008 927,004 463,502 231,751 695,254 347,627 1,042,882 521,441 1,564,324 782,162 391,081 1,173,244 586,622 293,311 879,934 439,967 1,319,902 659,951 1,979,854 989,927 2,969,782 1,484,891 4,454,674 2,227,337 6,682,012 3,341,006 1,670,503 5,011,510 2,505,755 7,517,266 3,758,633 11,275,900 5,637,950 2,818,975 8,456,926 4,228,463 12,685,390 6,342,695 19,028,086 9,514,043 28,542,130 14,271,065 42,813,196 21,406,598 10,703,299 32,109,898 16,054,949 48,164,848 24,082,424 12,041,212 6,020,606 3,010,303 9,030,910 4,515,455 13,546,366

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