9,640,584

2³ × 3² × 257 × 521

9,640,584 has the prime decomposition 2^3 × 3^2 × 257 × 521. Its 4 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 257 × 521

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 26,261,820

Proper Divisor Sum 16,621,236

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #9640577 ← → #9640591

Radix Representation

Decimal	9640584
Binary	100100110001101010001000 (24 bits)
Octal	0o44615210
Hexadecimal	0x931A88

Divisor Catalog (48)

1 2 3 4 6 8 9 12 18 24 36 72 257 514 521 771 1,028 1,042 1,542 1,563 2,056 2,084 2,313 3,084 3,126 4,168 4,626 4,689 6,168 6,252 9,252 9,378 12,504 18,504 18,756 37,512 133,897 267,794 401,691 535,588 803,382 1,071,176 1,205,073 1,606,764 2,410,146 3,213,528 4,820,292 9,640,584

Collatz Trajectory (132 steps to reach 1)

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

9,640,584 4,820,292 2,410,146 1,205,073 3,615,220 1,807,610 903,805 2,711,416 1,355,708 677,854 338,927 1,016,782 508,391 1,525,174 762,587 2,287,762 1,143,881 3,431,644 1,715,822 857,911 2,573,734 1,286,867 3,860,602 1,930,301 5,790,904 2,895,452 1,447,726 723,863 2,171,590 1,085,795 3,257,386 1,628,693 4,886,080 2,443,040 1,221,520 610,760 305,380 152,690 76,345 229,036 114,518 57,259 171,778 85,889 257,668 128,834 64,417 193,252 96,626 48,313 144,940 72,470 36,235 108,706 54,353 163,060 81,530 40,765 122,296 61,148

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