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Atlas › Integer Profiles › Node 26,363,512

26,363,512

23 × 7 × 73 × 6449
Abundant Even Composite

26,363,512 factors as 2^3 × 7 × 73 × 6449. Its 32 positive divisors give a proper-divisor sum of 30,912,488, so this integer is abundant. The Collatz stopping time is 211 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 73 × 6449
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 57,276,000
Proper Divisor Sum 30,912,488
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #26363483 ← → #26363521

Radix Representation

Decimal 26363512
Binary 1100100100100011001111000 (25 bits)
Octal 0o144443170
Hexadecimal 0x1924678

Divisor Catalog (32)

1 2 4 7 8 14 28 56 73 146 292 511 584 1,022 2,044 4,088 6,449 12,898 25,796 45,143 51,592 90,286 180,572 361,144 470,777 941,554 1,883,108 3,295,439 3,766,216 6,590,878 13,181,756 26,363,512

Collatz Trajectory (211 steps to reach 1)

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

26,363,512 13,181,756 6,590,878 3,295,439 9,886,318 4,943,159 14,829,478 7,414,739 22,244,218 11,122,109 33,366,328 16,683,164 8,341,582 4,170,791 12,512,374 6,256,187 18,768,562 9,384,281 28,152,844 14,076,422 7,038,211 21,114,634 10,557,317 31,671,952 15,835,976 7,917,988 3,958,994 1,979,497 5,938,492 2,969,246 1,484,623 4,453,870 2,226,935 6,680,806 3,340,403 10,021,210 5,010,605 15,031,816 7,515,908 3,757,954 1,878,977 5,636,932 2,818,466 1,409,233 4,227,700 2,113,850 1,056,925 3,170,776 1,585,388 792,694 396,347 1,189,042 594,521 1,783,564 891,782 445,891 1,337,674 668,837 2,006,512 1,003,256

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