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Atlas › Integer Profiles › Node 23,301,184

23,301,184

26 × 43 × 8467
Abundant Even Composite

23,301,184 factors as 2^6 × 43 × 8467. Its 28 positive divisors give a proper-divisor sum of 24,018,000, so this integer is abundant. The Collatz stopping time is 141 steps.

Prime Factor Structure

Factorization String 2^6 × 43 × 8467
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 47,319,184
Proper Divisor Sum 24,018,000
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #23301167 ← → #23301209

Radix Representation

Decimal 23301184
Binary 1011000111000110001000000 (25 bits)
Octal 0o130706100
Hexadecimal 0x1638C40

Divisor Catalog (28)

1 2 4 8 16 32 43 64 86 172 344 688 1,376 2,752 8,467 16,934 33,868 67,736 135,472 270,944 364,081 541,888 728,162 1,456,324 2,912,648 5,825,296 11,650,592 23,301,184

Collatz Trajectory (141 steps to reach 1)

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

23,301,184 11,650,592 5,825,296 2,912,648 1,456,324 728,162 364,081 1,092,244 546,122 273,061 819,184 409,592 204,796 102,398 51,199 153,598 76,799 230,398 115,199 345,598 172,799 518,398 259,199 777,598 388,799 1,166,398 583,199 1,749,598 874,799 2,624,398 1,312,199 3,936,598 1,968,299 5,904,898 2,952,449 8,857,348 4,428,674 2,214,337 6,643,012 3,321,506 1,660,753 4,982,260 2,491,130 1,245,565 3,736,696 1,868,348 934,174 467,087 1,401,262 700,631 2,101,894 1,050,947 3,152,842 1,576,421 4,729,264 2,364,632 1,182,316 591,158 295,579 886,738

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