λ
Sequence Observatory

6,737,317

6737317
Deficient Odd Prime

Starting at 6,737,317, the Collatz iteration reaches 1 after 147 steps. The first transition is 20211952; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 6737317
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 6,737,318
Proper Divisor Sum 1
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #6737303 ← → #6737327

Radix Representation

Decimal 6737317
Binary 11001101100110110100101 (23 bits)
Octal 0o31546645
Hexadecimal 0x66CDA5

Divisor Catalog (2)

Collatz Trajectory (147 steps to reach 1)

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

6,737,317 20,211,952 10,105,976 5,052,988 2,526,494 1,263,247 3,789,742 1,894,871 5,684,614 2,842,307 8,526,922 4,263,461 12,790,384 6,395,192 3,197,596 1,598,798 799,399 2,398,198 1,199,099 3,597,298 1,798,649 5,395,948 2,697,974 1,348,987 4,046,962 2,023,481 6,070,444 3,035,222 1,517,611 4,552,834 2,276,417 6,829,252 3,414,626 1,707,313 5,121,940 2,560,970 1,280,485 3,841,456 1,920,728 960,364 480,182 240,091 720,274 360,137 1,080,412 540,206 270,103 810,310 405,155 1,215,466 607,733 1,823,200 911,600 455,800 227,900 113,950 56,975 170,926 85,463 256,390

More profiles

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