λ
Ratio Atlas

41,038,505

5 × 67 × 122503
Deficient Odd Composite

41,038,505 factors as 5 × 67 × 122503. Its 8 positive divisors give a proper-divisor sum of 8,943,127, so this integer is deficient. The Collatz stopping time is 178 steps.

Prime Factor Structure

Factorization String 5 × 67 × 122503
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 49,981,632
Proper Divisor Sum 8,943,127
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #41038489 ← → #41038507

Radix Representation

Decimal 41038505
Binary 10011100100011001010101001 (26 bits)
Octal 0o234431251
Hexadecimal 0x27232A9

Divisor Catalog (8)

Collatz Trajectory (178 steps to reach 1)

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

41,038,505 123,115,516 61,557,758 30,778,879 92,336,638 46,168,319 138,504,958 69,252,479 207,757,438 103,878,719 311,636,158 155,818,079 467,454,238 233,727,119 701,181,358 350,590,679 1,051,772,038 525,886,019 1,577,658,058 788,829,029 2,366,487,088 1,183,243,544 591,621,772 295,810,886 147,905,443 443,716,330 221,858,165 665,574,496 332,787,248 166,393,624 83,196,812 41,598,406 20,799,203 62,397,610 31,198,805 93,596,416 46,798,208 23,399,104 11,699,552 5,849,776 2,924,888 1,462,444 731,222 365,611 1,096,834 548,417 1,645,252 822,626 411,313 1,233,940 616,970 308,485 925,456 462,728 231,364 115,682 57,841 173,524 86,762 43,381

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