λ
Sigma Notebook

9,735,437

9735437
Deficient Odd Prime

9,735,437 is odd and not a perfect square. Its factorization is 9735437 and its 2 divisors sum to 9,735,438.

Prime Factor Structure

Factorization String 9735437
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 9,735,438
Proper Divisor Sum 1
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #9735433 ← → #9735469

Radix Representation

Decimal 9735437
Binary 100101001000110100001101 (24 bits)
Octal 0o45106415
Hexadecimal 0x948D0D

Divisor Catalog (2)

Collatz Trajectory (119 steps to reach 1)

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

9,735,437 29,206,312 14,603,156 7,301,578 3,650,789 10,952,368 5,476,184 2,738,092 1,369,046 684,523 2,053,570 1,026,785 3,080,356 1,540,178 770,089 2,310,268 1,155,134 577,567 1,732,702 866,351 2,599,054 1,299,527 3,898,582 1,949,291 5,847,874 2,923,937 8,771,812 4,385,906 2,192,953 6,578,860 3,289,430 1,644,715 4,934,146 2,467,073 7,401,220 3,700,610 1,850,305 5,550,916 2,775,458 1,387,729 4,163,188 2,081,594 1,040,797 3,122,392 1,561,196 780,598 390,299 1,170,898 585,449 1,756,348 878,174 439,087 1,317,262 658,631 1,975,894 987,947 2,963,842 1,481,921 4,445,764 2,222,882

More profiles

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