λ
Sequence Observatory

8,737,657

8737657
Deficient Odd Prime

Starting at 8,737,657, the Collatz iteration reaches 1 after 168 steps. The first transition is 26212972; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 8737657
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 8,737,658
Proper Divisor Sum 1
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #8737627 ← → #8737667

Radix Representation

Decimal 8737657
Binary 100001010101001101111001 (24 bits)
Octal 0o41251571
Hexadecimal 0x855379

Divisor Catalog (2)

Collatz Trajectory (168 steps to reach 1)

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

8,737,657 26,212,972 13,106,486 6,553,243 19,659,730 9,829,865 29,489,596 14,744,798 7,372,399 22,117,198 11,058,599 33,175,798 16,587,899 49,763,698 24,881,849 74,645,548 37,322,774 18,661,387 55,984,162 27,992,081 83,976,244 41,988,122 20,994,061 62,982,184 31,491,092 15,745,546 7,872,773 23,618,320 11,809,160 5,904,580 2,952,290 1,476,145 4,428,436 2,214,218 1,107,109 3,321,328 1,660,664 830,332 415,166 207,583 622,750 311,375 934,126 467,063 1,401,190 700,595 2,101,786 1,050,893 3,152,680 1,576,340 788,170 394,085 1,182,256 591,128 295,564 147,782 73,891 221,674 110,837 332,512

More profiles

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