λ
Modular Archive

9,729,438

2 × 3 × 432 × 877
Abundant Even Composite

The decimal integer 9,729,438 is 100101000111010110011110 in binary (24 bits), 45072636 in octal and 94759E in hexadecimal. Its digit sum is 42.

Prime Factor Structure

Factorization String 2 × 3 × 43^2 × 877
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 19,944,648
Proper Divisor Sum 10,215,210
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #9729427 ← → #9729469

Radix Representation

Decimal 9729438
Binary 100101000111010110011110 (24 bits)
Octal 0o45072636
Hexadecimal 0x94759E

Divisor Catalog (24)

1 2 3 6 43 86 129 258 877 1,754 1,849 2,631 3,698 5,262 5,547 11,094 37,711 75,422 113,133 226,266 1,621,573 3,243,146 4,864,719 9,729,438

Collatz Trajectory (181 steps to reach 1)

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

9,729,438 4,864,719 14,594,158 7,297,079 21,891,238 10,945,619 32,836,858 16,418,429 49,255,288 24,627,644 12,313,822 6,156,911 18,470,734 9,235,367 27,706,102 13,853,051 41,559,154 20,779,577 62,338,732 31,169,366 15,584,683 46,754,050 23,377,025 70,131,076 35,065,538 17,532,769 52,598,308 26,299,154 13,149,577 39,448,732 19,724,366 9,862,183 29,586,550 14,793,275 44,379,826 22,189,913 66,569,740 33,284,870 16,642,435 49,927,306 24,963,653 74,890,960 37,445,480 18,722,740 9,361,370 4,680,685 14,042,056 7,021,028 3,510,514 1,755,257 5,265,772 2,632,886 1,316,443 3,949,330 1,974,665 5,923,996 2,961,998 1,480,999 4,442,998 2,221,499

More profiles

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