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9,764,838

2 × 32 × 241 × 2251
Abundant Even Composite

9,764,838 factors as 2 × 3^2 × 241 × 2251. Its 24 positive divisors give a proper-divisor sum of 11,489,538, so this integer is abundant. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 241 × 2251
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 21,254,376
Proper Divisor Sum 11,489,538
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #9764801 ← → #9764849

Radix Representation

Decimal 9764838
Binary 100101001111111111100110 (24 bits)
Octal 0o45177746
Hexadecimal 0x94FFE6

Divisor Catalog (24)

1 2 3 6 9 18 241 482 723 1,446 2,169 2,251 4,338 4,502 6,753 13,506 20,259 40,518 542,491 1,084,982 1,627,473 3,254,946 4,882,419 9,764,838

Collatz Trajectory (114 steps to reach 1)

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

9,764,838 4,882,419 14,647,258 7,323,629 21,970,888 10,985,444 5,492,722 2,746,361 8,239,084 4,119,542 2,059,771 6,179,314 3,089,657 9,268,972 4,634,486 2,317,243 6,951,730 3,475,865 10,427,596 5,213,798 2,606,899 7,820,698 3,910,349 11,731,048 5,865,524 2,932,762 1,466,381 4,399,144 2,199,572 1,099,786 549,893 1,649,680 824,840 412,420 206,210 103,105 309,316 154,658 77,329 231,988 115,994 57,997 173,992 86,996 43,498 21,749 65,248 32,624 16,312 8,156 4,078 2,039 6,118 3,059 9,178 4,589 13,768 6,884 3,442 1,721

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