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9,710,080

29 × 5 × 3793
Abundant Even Composite

9,710,080 factors as 2^9 × 5 × 3793. Its 40 positive divisors give a proper-divisor sum of 13,577,492, so this integer is abundant. The Collatz stopping time is 163 steps.

Prime Factor Structure

Factorization String 2^9 × 5 × 3793
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 23,287,572
Proper Divisor Sum 13,577,492
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #9710053 ← → #9710137

Radix Representation

Decimal 9710080
Binary 100101000010101000000000 (24 bits)
Octal 0o45025000
Hexadecimal 0x942A00

Divisor Catalog (40)

1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1,280 2,560 3,793 7,586 15,172 18,965 30,344 37,930 60,688 75,860 121,376 151,720 242,752 303,440 485,504 606,880 971,008 1,213,760 1,942,016 2,427,520 4,855,040 9,710,080

Collatz Trajectory (163 steps to reach 1)

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

9,710,080 4,855,040 2,427,520 1,213,760 606,880 303,440 151,720 75,860 37,930 18,965 56,896 28,448 14,224 7,112 3,556 1,778 889 2,668 1,334 667 2,002 1,001 3,004 1,502 751 2,254 1,127 3,382 1,691 5,074 2,537 7,612 3,806 1,903 5,710 2,855 8,566 4,283 12,850 6,425 19,276 9,638 4,819 14,458 7,229 21,688 10,844 5,422 2,711 8,134 4,067 12,202 6,101 18,304 9,152 4,576 2,288 1,144 572 286

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