λ
Ratio Atlas

41,762,303

112 × 345143
Deficient Odd Composite

41,762,303 factors as 11^2 × 345143. Its 6 positive divisors give a proper-divisor sum of 4,141,849, so this integer is deficient. The Collatz stopping time is 359 steps.

Prime Factor Structure

Factorization String 11^2 × 345143
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 45,904,152
Proper Divisor Sum 4,141,849
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #41762297 ← → #41762309

Radix Representation

Decimal 41762303
Binary 10011111010011110111111111 (26 bits)
Octal 0o237236777
Hexadecimal 0x27D3DFF

Divisor Catalog (6)

Collatz Trajectory (359 steps to reach 1)

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

41,762,303 125,286,910 62,643,455 187,930,366 93,965,183 281,895,550 140,947,775 422,843,326 211,421,663 634,264,990 317,132,495 951,397,486 475,698,743 1,427,096,230 713,548,115 2,140,644,346 1,070,322,173 3,210,966,520 1,605,483,260 802,741,630 401,370,815 1,204,112,446 602,056,223 1,806,168,670 903,084,335 2,709,253,006 1,354,626,503 4,063,879,510 2,031,939,755 6,095,819,266 3,047,909,633 9,143,728,900 4,571,864,450 2,285,932,225 6,857,796,676 3,428,898,338 1,714,449,169 5,143,347,508 2,571,673,754 1,285,836,877 3,857,510,632 1,928,755,316 964,377,658 482,188,829 1,446,566,488 723,283,244 361,641,622 180,820,811 542,462,434 271,231,217 813,693,652 406,846,826 203,423,413 610,270,240 305,135,120 152,567,560 76,283,780 38,141,890 19,070,945 57,212,836

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