5,200,029

3² × 577781

Starting at 5,200,029, the Collatz iteration reaches 1 after 157 steps. The first transition is 15600088; the starting value is odd with 6 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 577781

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 7,511,166

Proper Divisor Sum 2,311,137

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #5200021 ← → #5200049

Radix Representation

Decimal	5200029
Binary	10011110101100010011101 (23 bits)
Octal	0o23654235
Hexadecimal	0x4F589D

Divisor Catalog (6)

1 3 9 577,781 1,733,343 5,200,029

Collatz Trajectory (157 steps to reach 1)

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

5,200,029 15,600,088 7,800,044 3,900,022 1,950,011 5,850,034 2,925,017 8,775,052 4,387,526 2,193,763 6,581,290 3,290,645 9,871,936 4,935,968 2,467,984 1,233,992 616,996 308,498 154,249 462,748 231,374 115,687 347,062 173,531 520,594 260,297 780,892 390,446 195,223 585,670 292,835 878,506 439,253 1,317,760 658,880 329,440 164,720 82,360 41,180 20,590 10,295 30,886 15,443 46,330 23,165 69,496 34,748 17,374 8,687 26,062 13,031 39,094 19,547 58,642 29,321 87,964 43,982 21,991 65,974 32,987

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