λ
Sequence Observatory

5,726,797

5726797
Deficient Odd Prime

Starting at 5,726,797, the Collatz iteration reaches 1 after 157 steps. The first transition is 17180392; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 5726797
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 5,726,798
Proper Divisor Sum 1
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #5726779 ← → #5726803

Radix Representation

Decimal 5726797
Binary 10101110110001001001101 (23 bits)
Octal 0o25661115
Hexadecimal 0x57624D

Divisor Catalog (2)

1 5,726,797

Collatz Trajectory (157 steps to reach 1)

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

5,726,797 17,180,392 8,590,196 4,295,098 2,147,549 6,442,648 3,221,324 1,610,662 805,331 2,415,994 1,207,997 3,623,992 1,811,996 905,998 452,999 1,358,998 679,499 2,038,498 1,019,249 3,057,748 1,528,874 764,437 2,293,312 1,146,656 573,328 286,664 143,332 71,666 35,833 107,500 53,750 26,875 80,626 40,313 120,940 60,470 30,235 90,706 45,353 136,060 68,030 34,015 102,046 51,023 153,070 76,535 229,606 114,803 344,410 172,205 516,616 258,308 129,154 64,577 193,732 96,866 48,433 145,300 72,650 36,325

More profiles

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