9,846,004

2² × 7 × 351643

9,846,004 factors as 2^2 × 7 × 351643. Its 12 positive divisors give a proper-divisor sum of 9,846,060, so this integer is abundant. The Collatz stopping time is 238 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 351643

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 19,692,064

Proper Divisor Sum 9,846,060

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #9845999 ← → #9846013

Radix Representation

Decimal	9846004
Binary	100101100011110011110100 (24 bits)
Octal	0o45436364
Hexadecimal	0x963CF4

Divisor Catalog (12)

1 2 4 7 14 28 351,643 703,286 1,406,572 2,461,501 4,923,002 9,846,004

Collatz Trajectory (238 steps to reach 1)

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

9,846,004 4,923,002 2,461,501 7,384,504 3,692,252 1,846,126 923,063 2,769,190 1,384,595 4,153,786 2,076,893 6,230,680 3,115,340 1,557,670 778,835 2,336,506 1,168,253 3,504,760 1,752,380 876,190 438,095 1,314,286 657,143 1,971,430 985,715 2,957,146 1,478,573 4,435,720 2,217,860 1,108,930 554,465 1,663,396 831,698 415,849 1,247,548 623,774 311,887 935,662 467,831 1,403,494 701,747 2,105,242 1,052,621 3,157,864 1,578,932 789,466 394,733 1,184,200 592,100 296,050 148,025 444,076 222,038 111,019 333,058 166,529 499,588 249,794 124,897 374,692

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