λ
Sigma Notebook

9,938,436

22 × 3 × 163 × 5081
Abundant Even Composite

9,938,436 is even and not a perfect square. Its factorization is 2^2 × 3 × 163 × 5081 and its 24 divisors sum to 23,336,544.

Prime Factor Structure

Factorization String 2^2 × 3 × 163 × 5081
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 23,336,544
Proper Divisor Sum 13,398,108
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #9938431 ← → #9938471

Radix Representation

Decimal 9938436
Binary 100101111010011000000100 (24 bits)
Octal 0o45723004
Hexadecimal 0x97A604

Divisor Catalog (24)

1 2 3 4 6 12 163 326 489 652 978 1,956 5,081 10,162 15,243 20,324 30,486 60,972 828,203 1,656,406 2,484,609 3,312,812 4,969,218 9,938,436

Collatz Trajectory (88 steps to reach 1)

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

9,938,436 4,969,218 2,484,609 7,453,828 3,726,914 1,863,457 5,590,372 2,795,186 1,397,593 4,192,780 2,096,390 1,048,195 3,144,586 1,572,293 4,716,880 2,358,440 1,179,220 589,610 294,805 884,416 442,208 221,104 110,552 55,276 27,638 13,819 41,458 20,729 62,188 31,094 15,547 46,642 23,321 69,964 34,982 17,491 52,474 26,237 78,712 39,356 19,678 9,839 29,518 14,759 44,278 22,139 66,418 33,209 99,628 49,814 24,907 74,722 37,361 112,084 56,042 28,021 84,064 42,032 21,016 10,508

More profiles

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