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Atlas › Integer Profiles › Node 9,675,596

9,675,596

22 × 7 × 31 × 71 × 157
Abundant Even Composite

9,675,596 factors as 2^2 × 7 × 31 × 71 × 157. Its 48 positive divisors give a proper-divisor sum of 10,710,196, so this integer is abundant. The Collatz stopping time is 194 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 31 × 71 × 157
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 20,385,792
Proper Divisor Sum 10,710,196
Digit Sum / Digital Root 47 (Root: 2)
Adjacent Primes #9675593 ← → #9675599

Radix Representation

Decimal 9675596
Binary 100100111010001101001100 (24 bits)
Octal 0o44721514
Hexadecimal 0x93A34C

Divisor Catalog (48)

1 2 4 7 14 28 31 62 71 124 142 157 217 284 314 434 497 628 868 994 1,099 1,988 2,198 2,201 4,396 4,402 4,867 8,804 9,734 11,147 15,407 19,468 22,294 30,814 34,069 44,588 61,628 68,138 78,029 136,276 156,058 312,116 345,557 691,114 1,382,228 2,418,899 4,837,798 9,675,596

Collatz Trajectory (194 steps to reach 1)

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

9,675,596 4,837,798 2,418,899 7,256,698 3,628,349 10,885,048 5,442,524 2,721,262 1,360,631 4,081,894 2,040,947 6,122,842 3,061,421 9,184,264 4,592,132 2,296,066 1,148,033 3,444,100 1,722,050 861,025 2,583,076 1,291,538 645,769 1,937,308 968,654 484,327 1,452,982 726,491 2,179,474 1,089,737 3,269,212 1,634,606 817,303 2,451,910 1,225,955 3,677,866 1,838,933 5,516,800 2,758,400 1,379,200 689,600 344,800 172,400 86,200 43,100 21,550 10,775 32,326 16,163 48,490 24,245 72,736 36,368 18,184 9,092 4,546 2,273 6,820 3,410 1,705

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