9,656,004

2² × 3 × 31 × 101 × 257

9,656,004 is even and not a perfect square. Its factorization is 2^2 × 3 × 31 × 101 × 257 and its 48 divisors sum to 23,579,136.

Prime Factor Structure

Factorization String 2^2 × 3 × 31 × 101 × 257

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 23,579,136

Proper Divisor Sum 13,923,132

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #9655991 ← → #9656027

Radix Representation

Decimal	9656004
Binary	100100110101011011000100 (24 bits)
Octal	0o44653304
Hexadecimal	0x9356C4

Divisor Catalog (48)

1 2 3 4 6 12 31 62 93 101 124 186 202 257 303 372 404 514 606 771 1,028 1,212 1,542 3,084 3,131 6,262 7,967 9,393 12,524 15,934 18,786 23,901 25,957 31,868 37,572 47,802 51,914 77,871 95,604 103,828 155,742 311,484 804,667 1,609,334 2,414,001 3,218,668 4,828,002 9,656,004

Collatz Trajectory (163 steps to reach 1)

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

9,656,004 4,828,002 2,414,001 7,242,004 3,621,002 1,810,501 5,431,504 2,715,752 1,357,876 678,938 339,469 1,018,408 509,204 254,602 127,301 381,904 190,952 95,476 47,738 23,869 71,608 35,804 17,902 8,951 26,854 13,427 40,282 20,141 60,424 30,212 15,106 7,553 22,660 11,330 5,665 16,996 8,498 4,249 12,748 6,374 3,187 9,562 4,781 14,344 7,172 3,586 1,793 5,380 2,690 1,345 4,036 2,018 1,009 3,028 1,514 757 2,272 1,136 568 284

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