λ
Ratio Atlas

41,589,503

41589503
Deficient Odd Prime

41,589,503 factors as 41589503. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 222 steps.

Prime Factor Structure

Factorization String 41589503
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 41,589,504
Proper Divisor Sum 1
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #41589481 ← → #41589511

Radix Representation

Decimal 41589503
Binary 10011110101001101011111111 (26 bits)
Octal 0o236515377
Hexadecimal 0x27A9AFF

Divisor Catalog (2)

Collatz Trajectory (222 steps to reach 1)

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

41,589,503 124,768,510 62,384,255 187,152,766 93,576,383 280,729,150 140,364,575 421,093,726 210,546,863 631,640,590 315,820,295 947,460,886 473,730,443 1,421,191,330 710,595,665 2,131,786,996 1,065,893,498 532,946,749 1,598,840,248 799,420,124 399,710,062 199,855,031 599,565,094 299,782,547 899,347,642 449,673,821 1,349,021,464 674,510,732 337,255,366 168,627,683 505,883,050 252,941,525 758,824,576 379,412,288 189,706,144 94,853,072 47,426,536 23,713,268 11,856,634 5,928,317 17,784,952 8,892,476 4,446,238 2,223,119 6,669,358 3,334,679 10,004,038 5,002,019 15,006,058 7,503,029 22,509,088 11,254,544 5,627,272 2,813,636 1,406,818 703,409 2,110,228 1,055,114 527,557 1,582,672

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