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Atlas › Integer Profiles › Node 22,129,504

22,129,504

25 × 41 × 101 × 167
Abundant Even Composite

22,129,504 factors as 2^5 × 41 × 101 × 167. Its 48 positive divisors give a proper-divisor sum of 23,212,352, so this integer is abundant. The Collatz stopping time is 172 steps.

Prime Factor Structure

Factorization String 2^5 × 41 × 101 × 167
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 45,341,856
Proper Divisor Sum 23,212,352
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #22129501 ← → #22129511

Radix Representation

Decimal 22129504
Binary 1010100011010101101100000 (25 bits)
Octal 0o124325540
Hexadecimal 0x151AB60

Divisor Catalog (48)

1 2 4 8 16 32 41 82 101 164 167 202 328 334 404 656 668 808 1,312 1,336 1,616 2,672 3,232 4,141 5,344 6,847 8,282 13,694 16,564 16,867 27,388 33,128 33,734 54,776 66,256 67,468 109,552 132,512 134,936 219,104 269,872 539,744 691,547 1,383,094 2,766,188 5,532,376 11,064,752 22,129,504

Collatz Trajectory (172 steps to reach 1)

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

22,129,504 11,064,752 5,532,376 2,766,188 1,383,094 691,547 2,074,642 1,037,321 3,111,964 1,555,982 777,991 2,333,974 1,166,987 3,500,962 1,750,481 5,251,444 2,625,722 1,312,861 3,938,584 1,969,292 984,646 492,323 1,476,970 738,485 2,215,456 1,107,728 553,864 276,932 138,466 69,233 207,700 103,850 51,925 155,776 77,888 38,944 19,472 9,736 4,868 2,434 1,217 3,652 1,826 913 2,740 1,370 685 2,056 1,028 514 257 772 386 193 580 290 145 436 218 109

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