9,290,180

2² × 5 × 223 × 2083

9,290,180 factors as 2^2 × 5 × 223 × 2083. Its 24 positive divisors give a proper-divisor sum of 10,316,092, so this integer is abundant. The Collatz stopping time is 101 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 223 × 2083

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 19,606,272

Proper Divisor Sum 10,316,092

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #9290167 ← → #9290189

Radix Representation

Decimal	9290180
Binary	100011011100000111000100 (24 bits)
Octal	0o43340704
Hexadecimal	0x8DC1C4

Divisor Catalog (24)

1 2 4 5 10 20 223 446 892 1,115 2,083 2,230 4,166 4,460 8,332 10,415 20,830 41,660 464,509 929,018 1,858,036 2,322,545 4,645,090 9,290,180

Collatz Trajectory (101 steps to reach 1)

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

9,290,180 4,645,090 2,322,545 6,967,636 3,483,818 1,741,909 5,225,728 2,612,864 1,306,432 653,216 326,608 163,304 81,652 40,826 20,413 61,240 30,620 15,310 7,655 22,966 11,483 34,450 17,225 51,676 25,838 12,919 38,758 19,379 58,138 29,069 87,208 43,604 21,802 10,901 32,704 16,352 8,176 4,088 2,044 1,022 511 1,534 767 2,302 1,151 3,454 1,727 5,182 2,591 7,774 3,887 11,662 5,831 17,494 8,747 26,242 13,121 39,364 19,682 9,841

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