λ
Sequence Observatory

5,202,243

32 × 109 × 5303
Deficient Odd Composite

Starting at 5,202,243, the Collatz iteration reaches 1 after 100 steps. The first transition is 15606730; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 109 × 5303
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 7,584,720
Proper Divisor Sum 2,382,477
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #5202167 ← → #5202247

Radix Representation

Decimal 5202243
Binary 10011110110000101000011 (23 bits)
Octal 0o23660503
Hexadecimal 0x4F6143

Divisor Catalog (12)

1 3 9 109 327 981 5,303 15,909 47,727 578,027 1,734,081 5,202,243

Collatz Trajectory (100 steps to reach 1)

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

5,202,243 15,606,730 7,803,365 23,410,096 11,705,048 5,852,524 2,926,262 1,463,131 4,389,394 2,194,697 6,584,092 3,292,046 1,646,023 4,938,070 2,469,035 7,407,106 3,703,553 11,110,660 5,555,330 2,777,665 8,332,996 4,166,498 2,083,249 6,249,748 3,124,874 1,562,437 4,687,312 2,343,656 1,171,828 585,914 292,957 878,872 439,436 219,718 109,859 329,578 164,789 494,368 247,184 123,592 61,796 30,898 15,449 46,348 23,174 11,587 34,762 17,381 52,144 26,072 13,036 6,518 3,259 9,778 4,889 14,668 7,334 3,667 11,002 5,501

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