5,198,009

1657 × 3137

Starting at 5,198,009, the Collatz iteration reaches 1 after 157 steps. The first transition is 15594028; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 1657 × 3137

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 5,202,804

Proper Divisor Sum 4,795

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #5198003 ← → #5198027

Radix Representation

Decimal	5198009
Binary	10011110101000010111001 (23 bits)
Octal	0o23650271
Hexadecimal	0x4F50B9

Divisor Catalog (4)

1 1,657 3,137 5,198,009

Collatz Trajectory (157 steps to reach 1)

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

5,198,009 15,594,028 7,797,014 3,898,507 11,695,522 5,847,761 17,543,284 8,771,642 4,385,821 13,157,464 6,578,732 3,289,366 1,644,683 4,934,050 2,467,025 7,401,076 3,700,538 1,850,269 5,550,808 2,775,404 1,387,702 693,851 2,081,554 1,040,777 3,122,332 1,561,166 780,583 2,341,750 1,170,875 3,512,626 1,756,313 5,268,940 2,634,470 1,317,235 3,951,706 1,975,853 5,927,560 2,963,780 1,481,890 740,945 2,222,836 1,111,418 555,709 1,667,128 833,564 416,782 208,391 625,174 312,587 937,762 468,881 1,406,644 703,322 351,661 1,054,984 527,492 263,746 131,873 395,620 197,810

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