9,502,580

2² × 5 × 61 × 7789

9,502,580 factors as 2^2 × 5 × 61 × 7789. Its 24 positive divisors give a proper-divisor sum of 10,782,580, so this integer is abundant. The Collatz stopping time is 176 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 61 × 7789

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 20,285,160

Proper Divisor Sum 10,782,580

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #9502561 ← → #9502583

Radix Representation

Decimal	9502580
Binary	100100001111111101110100 (24 bits)
Octal	0o44177564
Hexadecimal	0x90FF74

Divisor Catalog (24)

Collatz Trajectory (176 steps to reach 1)

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

9,502,580 4,751,290 2,375,645 7,126,936 3,563,468 1,781,734 890,867 2,672,602 1,336,301 4,008,904 2,004,452 1,002,226 501,113 1,503,340 751,670 375,835 1,127,506 563,753 1,691,260 845,630 422,815 1,268,446 634,223 1,902,670 951,335 2,854,006 1,427,003 4,281,010 2,140,505 6,421,516 3,210,758 1,605,379 4,816,138 2,408,069 7,224,208 3,612,104 1,806,052 903,026 451,513 1,354,540 677,270 338,635 1,015,906 507,953 1,523,860 761,930 380,965 1,142,896 571,448 285,724 142,862 71,431 214,294 107,147 321,442 160,721 482,164 241,082 120,541 361,624

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