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Atlas › Integer Profiles › Node 9,750,834

9,750,834

2 × 33 × 53 × 3407
Abundant Even Composite

9,750,834 factors as 2 × 3^3 × 53 × 3407. Its 32 positive divisors give a proper-divisor sum of 12,333,006, so this integer is abundant. The Collatz stopping time is 62 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 53 × 3407
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 22,083,840
Proper Divisor Sum 12,333,006
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9750821 ← → #9750841

Radix Representation

Decimal 9750834
Binary 100101001100100100110010 (24 bits)
Octal 0o45144462
Hexadecimal 0x94C932

Divisor Catalog (32)

1 2 3 6 9 18 27 53 54 106 159 318 477 954 1,431 2,862 3,407 6,814 10,221 20,442 30,663 61,326 91,989 180,571 183,978 361,142 541,713 1,083,426 1,625,139 3,250,278 4,875,417 9,750,834

Collatz Trajectory (62 steps to reach 1)

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

9,750,834 4,875,417 14,626,252 7,313,126 3,656,563 10,969,690 5,484,845 16,454,536 8,227,268 4,113,634 2,056,817 6,170,452 3,085,226 1,542,613 4,627,840 2,313,920 1,156,960 578,480 289,240 144,620 72,310 36,155 108,466 54,233 162,700 81,350 40,675 122,026 61,013 183,040 91,520 45,760 22,880 11,440 5,720 2,860 1,430 715 2,146 1,073 3,220 1,610 805 2,416 1,208 604 302 151 454 227 682 341 1,024 512 256 128 64 32 16 8

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