5,128,413

3 × 151 × 11321

Starting at 5,128,413, the Collatz iteration reaches 1 after 82 steps. The first transition is 15385240; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 151 × 11321

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 6,883,776

Proper Divisor Sum 1,755,363

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #5128399 ← → #5128421

Radix Representation

Decimal	5128413
Binary	10011100100000011011101 (23 bits)
Octal	0o23440335
Hexadecimal	0x4E40DD

Divisor Catalog (8)

1 3 151 453 11,321 33,963 1,709,471 5,128,413

Collatz Trajectory (82 steps to reach 1)

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

5,128,413 15,385,240 7,692,620 3,846,310 1,923,155 5,769,466 2,884,733 8,654,200 4,327,100 2,163,550 1,081,775 3,245,326 1,622,663 4,867,990 2,433,995 7,301,986 3,650,993 10,952,980 5,476,490 2,738,245 8,214,736 4,107,368 2,053,684 1,026,842 513,421 1,540,264 770,132 385,066 192,533 577,600 288,800 144,400 72,200 36,100 18,050 9,025 27,076 13,538 6,769 20,308 10,154 5,077 15,232 7,616 3,808 1,904 952 476 238 119 358 179 538 269 808 404 202 101 304 152

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