λ
Sequence Observatory

5,082,313

5082313
Deficient Odd Prime

Starting at 5,082,313, the Collatz iteration reaches 1 after 157 steps. The first transition is 15246940; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 5082313
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 5,082,314
Proper Divisor Sum 1
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #5082293 ← → #5082317

Radix Representation

Decimal 5082313
Binary 10011011000110011001001 (23 bits)
Octal 0o23306311
Hexadecimal 0x4D8CC9

Divisor Catalog (2)

Collatz Trajectory (157 steps to reach 1)

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

5,082,313 15,246,940 7,623,470 3,811,735 11,435,206 5,717,603 17,152,810 8,576,405 25,729,216 12,864,608 6,432,304 3,216,152 1,608,076 804,038 402,019 1,206,058 603,029 1,809,088 904,544 452,272 226,136 113,068 56,534 28,267 84,802 42,401 127,204 63,602 31,801 95,404 47,702 23,851 71,554 35,777 107,332 53,666 26,833 80,500 40,250 20,125 60,376 30,188 15,094 7,547 22,642 11,321 33,964 16,982 8,491 25,474 12,737 38,212 19,106 9,553 28,660 14,330 7,165 21,496 10,748 5,374

More profiles

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