9,687,948

2² × 3 × 19 × 42491

9,687,948 factors as 2^2 × 3 × 19 × 42491. Its 24 positive divisors give a proper-divisor sum of 14,107,572, so this integer is abundant. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 19 × 42491

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 23,795,520

Proper Divisor Sum 14,107,572

Digit Sum / Digital Root 51 (Root: 6)

Adjacent Primes #9687947 ← → #9687989

Radix Representation

Decimal	9687948
Binary	100100111101001110001100 (24 bits)
Octal	0o44751614
Hexadecimal	0x93D38C

Divisor Catalog (24)

Collatz Trajectory (114 steps to reach 1)

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

9,687,948 4,843,974 2,421,987 7,265,962 3,632,981 10,898,944 5,449,472 2,724,736 1,362,368 681,184 340,592 170,296 85,148 42,574 21,287 63,862 31,931 95,794 47,897 143,692 71,846 35,923 107,770 53,885 161,656 80,828 40,414 20,207 60,622 30,311 90,934 45,467 136,402 68,201 204,604 102,302 51,151 153,454 76,727 230,182 115,091 345,274 172,637 517,912 258,956 129,478 64,739 194,218 97,109 291,328 145,664 72,832 36,416 18,208 9,104 4,552 2,276 1,138 569 1,708

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