λ
Sigma Notebook

9,329,784

23 × 3 × 149 × 2609
Abundant Even Composite

9,329,784 is even and not a perfect square. Its factorization is 2^3 × 3 × 149 × 2609 and its 32 divisors sum to 23,490,000.

Prime Factor Structure

Factorization String 2^3 × 3 × 149 × 2609
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 23,490,000
Proper Divisor Sum 14,160,216
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #9329783 ← → #9329807

Radix Representation

Decimal 9329784
Binary 100011100101110001111000 (24 bits)
Octal 0o43456170
Hexadecimal 0x8E5C78

Divisor Catalog (32)

1 2 3 4 6 8 12 24 149 298 447 596 894 1,192 1,788 2,609 3,576 5,218 7,827 10,436 15,654 20,872 31,308 62,616 388,741 777,482 1,166,223 1,554,964 2,332,446 3,109,928 4,664,892 9,329,784

Collatz Trajectory (132 steps to reach 1)

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

9,329,784 4,664,892 2,332,446 1,166,223 3,498,670 1,749,335 5,248,006 2,624,003 7,872,010 3,936,005 11,808,016 5,904,008 2,952,004 1,476,002 738,001 2,214,004 1,107,002 553,501 1,660,504 830,252 415,126 207,563 622,690 311,345 934,036 467,018 233,509 700,528 350,264 175,132 87,566 43,783 131,350 65,675 197,026 98,513 295,540 147,770 73,885 221,656 110,828 55,414 27,707 83,122 41,561 124,684 62,342 31,171 93,514 46,757 140,272 70,136 35,068 17,534 8,767 26,302 13,151 39,454 19,727 59,182

More profiles

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