9,854,000

2⁴ × 5³ × 13 × 379

9,854,000 factors as 2^4 × 5^3 × 13 × 379. Its 80 positive divisors give a proper-divisor sum of 15,873,520, so this integer is abundant. The Collatz stopping time is 207 steps.

Prime Factor Structure

Factorization String 2^4 × 5^3 × 13 × 379

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 25,727,520

Proper Divisor Sum 15,873,520

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #9853993 ← → #9854011

Radix Representation

Decimal	9854000
Binary	100101100101110000110000 (24 bits)
Octal	0o45456060
Hexadecimal	0x965C30

Divisor Catalog (60 of 80)

1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 379 400 500 520 650 758 1,000 1,040 1,300 1,516 1,625 1,895 2,000 2,600 3,032 3,250 3,790 4,927 5,200 6,064 6,500 7,580 9,475 9,854 13,000 15,160 18,950 19,708 24,635 26,000 30,320 37,900 39,416 47,375 49,270

Collatz Trajectory (207 steps to reach 1)

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

9,854,000 4,927,000 2,463,500 1,231,750 615,875 1,847,626 923,813 2,771,440 1,385,720 692,860 346,430 173,215 519,646 259,823 779,470 389,735 1,169,206 584,603 1,753,810 876,905 2,630,716 1,315,358 657,679 1,973,038 986,519 2,959,558 1,479,779 4,439,338 2,219,669 6,659,008 3,329,504 1,664,752 832,376 416,188 208,094 104,047 312,142 156,071 468,214 234,107 702,322 351,161 1,053,484 526,742 263,371 790,114 395,057 1,185,172 592,586 296,293 888,880 444,440 222,220 111,110 55,555 166,666 83,333 250,000 125,000 62,500

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