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Atlas › Integer Profiles › Node 9,534,834

9,534,834

2 × 35 × 23 × 853
Abundant Even Composite

9,534,834 factors as 2 × 3^5 × 23 × 853. Its 48 positive divisors give a proper-divisor sum of 12,846,798, so this integer is abundant. The Collatz stopping time is 269 steps.

Prime Factor Structure

Factorization String 2 × 3^5 × 23 × 853
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 22,381,632
Proper Divisor Sum 12,846,798
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9534829 ← → #9534851

Radix Representation

Decimal 9534834
Binary 100100010111110101110010 (24 bits)
Octal 0o44276562
Hexadecimal 0x917D72

Divisor Catalog (48)

1 2 3 6 9 18 23 27 46 54 69 81 138 162 207 243 414 486 621 853 1,242 1,706 1,863 2,559 3,726 5,118 5,589 7,677 11,178 15,354 19,619 23,031 39,238 46,062 58,857 69,093 117,714 138,186 176,571 207,279 353,142 414,558 529,713 1,059,426 1,589,139 3,178,278 4,767,417 9,534,834

Collatz Trajectory (269 steps to reach 1)

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

9,534,834 4,767,417 14,302,252 7,151,126 3,575,563 10,726,690 5,363,345 16,090,036 8,045,018 4,022,509 12,067,528 6,033,764 3,016,882 1,508,441 4,525,324 2,262,662 1,131,331 3,393,994 1,696,997 5,090,992 2,545,496 1,272,748 636,374 318,187 954,562 477,281 1,431,844 715,922 357,961 1,073,884 536,942 268,471 805,414 402,707 1,208,122 604,061 1,812,184 906,092 453,046 226,523 679,570 339,785 1,019,356 509,678 254,839 764,518 382,259 1,146,778 573,389 1,720,168 860,084 430,042 215,021 645,064 322,532 161,266 80,633 241,900 120,950 60,475

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