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Atlas › Integer Profiles › Node 9,203,488

9,203,488

25 × 7 × 181 × 227
Abundant Even Composite

9,203,488 factors as 2^5 × 7 × 181 × 227. Its 48 positive divisors give a proper-divisor sum of 11,710,496, so this integer is abundant. The Collatz stopping time is 101 steps.

Prime Factor Structure

Factorization String 2^5 × 7 × 181 × 227
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 20,913,984
Proper Divisor Sum 11,710,496
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #9203471 ← → #9203521

Radix Representation

Decimal 9203488
Binary 100011000110111100100000 (24 bits)
Octal 0o43067440
Hexadecimal 0x8C6F20

Divisor Catalog (48)

1 2 4 7 8 14 16 28 32 56 112 181 224 227 362 454 724 908 1,267 1,448 1,589 1,816 2,534 2,896 3,178 3,632 5,068 5,792 6,356 7,264 10,136 12,712 20,272 25,424 40,544 41,087 50,848 82,174 164,348 287,609 328,696 575,218 657,392 1,150,436 1,314,784 2,300,872 4,601,744 9,203,488

Collatz Trajectory (101 steps to reach 1)

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

9,203,488 4,601,744 2,300,872 1,150,436 575,218 287,609 862,828 431,414 215,707 647,122 323,561 970,684 485,342 242,671 728,014 364,007 1,092,022 546,011 1,638,034 819,017 2,457,052 1,228,526 614,263 1,842,790 921,395 2,764,186 1,382,093 4,146,280 2,073,140 1,036,570 518,285 1,554,856 777,428 388,714 194,357 583,072 291,536 145,768 72,884 36,442 18,221 54,664 27,332 13,666 6,833 20,500 10,250 5,125 15,376 7,688 3,844 1,922 961 2,884 1,442 721 2,164 1,082 541 1,624

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