9,006,160

2⁴ × 5 × 112577

9,006,160 factors as 2^4 × 5 × 112577. Its 20 positive divisors give a proper-divisor sum of 11,933,348, so this integer is abundant. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 112577

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 20,939,508

Proper Divisor Sum 11,933,348

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #9006157 ← → #9006163

Radix Representation

Decimal	9006160
Binary	100010010110110001010000 (24 bits)
Octal	0o42266120
Hexadecimal	0x896C50

Divisor Catalog (20)

Collatz Trajectory (137 steps to reach 1)

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

9,006,160 4,503,080 2,251,540 1,125,770 562,885 1,688,656 844,328 422,164 211,082 105,541 316,624 158,312 79,156 39,578 19,789 59,368 29,684 14,842 7,421 22,264 11,132 5,566 2,783 8,350 4,175 12,526 6,263 18,790 9,395 28,186 14,093 42,280 21,140 10,570 5,285 15,856 7,928 3,964 1,982 991 2,974 1,487 4,462 2,231 6,694 3,347 10,042 5,021 15,064 7,532 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179 9,538

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