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Atlas › Integer Profiles › Node 9,533,736

9,533,736

23 × 32 × 17 × 7789
Abundant Even Composite

9,533,736 factors as 2^3 × 3^2 × 17 × 7789. Its 48 positive divisors give a proper-divisor sum of 17,809,164, so this integer is abundant. The Collatz stopping time is 101 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 17 × 7789
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 27,342,900
Proper Divisor Sum 17,809,164
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9533729 ← → #9533737

Radix Representation

Decimal 9533736
Binary 100100010111100100101000 (24 bits)
Octal 0o44274450
Hexadecimal 0x917928

Divisor Catalog (48)

1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1,224 7,789 15,578 23,367 31,156 46,734 62,312 70,101 93,468 132,413 140,202 186,936 264,826 280,404 397,239 529,652 560,808 794,478 1,059,304 1,191,717 1,588,956 2,383,434 3,177,912 4,766,868 9,533,736

Collatz Trajectory (101 steps to reach 1)

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

9,533,736 4,766,868 2,383,434 1,191,717 3,575,152 1,787,576 893,788 446,894 223,447 670,342 335,171 1,005,514 502,757 1,508,272 754,136 377,068 188,534 94,267 282,802 141,401 424,204 212,102 106,051 318,154 159,077 477,232 238,616 119,308 59,654 29,827 89,482 44,741 134,224 67,112 33,556 16,778 8,389 25,168 12,584 6,292 3,146 1,573 4,720 2,360 1,180 590 295 886 443 1,330 665 1,996 998 499 1,498 749 2,248 1,124 562 281

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