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Atlas › Integer Profiles › Node 8,323,398

8,323,398

2 × 34 × 191 × 269
Abundant Even Composite

8,323,398 factors as 2 × 3^4 × 191 × 269. Its 40 positive divisors give a proper-divisor sum of 10,494,522, so this integer is abundant. The Collatz stopping time is 186 steps.

Prime Factor Structure

Factorization String 2 × 3^4 × 191 × 269
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 18,817,920
Proper Divisor Sum 10,494,522
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #8323397 ← → #8323439

Radix Representation

Decimal 8323398
Binary 11111110000000101000110 (23 bits)
Octal 0o37600506
Hexadecimal 0x7F0146

Divisor Catalog (40)

1 2 3 6 9 18 27 54 81 162 191 269 382 538 573 807 1,146 1,614 1,719 2,421 3,438 4,842 5,157 7,263 10,314 14,526 15,471 21,789 30,942 43,578 51,379 102,758 154,137 308,274 462,411 924,822 1,387,233 2,774,466 4,161,699 8,323,398

Collatz Trajectory (186 steps to reach 1)

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

8,323,398 4,161,699 12,485,098 6,242,549 18,727,648 9,363,824 4,681,912 2,340,956 1,170,478 585,239 1,755,718 877,859 2,633,578 1,316,789 3,950,368 1,975,184 987,592 493,796 246,898 123,449 370,348 185,174 92,587 277,762 138,881 416,644 208,322 104,161 312,484 156,242 78,121 234,364 117,182 58,591 175,774 87,887 263,662 131,831 395,494 197,747 593,242 296,621 889,864 444,932 222,466 111,233 333,700 166,850 83,425 250,276 125,138 62,569 187,708 93,854 46,927 140,782 70,391 211,174 105,587 316,762

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