λ
Ratio Atlas

41,454,224

24 × 7 × 29 × 12763
Abundant Even Composite

41,454,224 factors as 2^4 × 7 × 29 × 12763. Its 40 positive divisors give a proper-divisor sum of 53,509,936, so this integer is abundant. The Collatz stopping time is 297 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 29 × 12763
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 94,964,160
Proper Divisor Sum 53,509,936
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #41454221 ← → #41454227

Radix Representation

Decimal 41454224
Binary 10011110001000101010010000 (26 bits)
Octal 0o236105220
Hexadecimal 0x2788A90

Divisor Catalog (40)

Collatz Trajectory (297 steps to reach 1)

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

41,454,224 20,727,112 10,363,556 5,181,778 2,590,889 7,772,668 3,886,334 1,943,167 5,829,502 2,914,751 8,744,254 4,372,127 13,116,382 6,558,191 19,674,574 9,837,287 29,511,862 14,755,931 44,267,794 22,133,897 66,401,692 33,200,846 16,600,423 49,801,270 24,900,635 74,701,906 37,350,953 112,052,860 56,026,430 28,013,215 84,039,646 42,019,823 126,059,470 63,029,735 189,089,206 94,544,603 283,633,810 141,816,905 425,450,716 212,725,358 106,362,679 319,088,038 159,544,019 478,632,058 239,316,029 717,948,088 358,974,044 179,487,022 89,743,511 269,230,534 134,615,267 403,845,802 201,922,901 605,768,704 302,884,352 151,442,176 75,721,088 37,860,544 18,930,272 9,465,136

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