5,132,511

3³ × 190093

Starting at 5,132,511, the Collatz iteration reaches 1 after 219 steps. The first transition is 15397534; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 190093

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 7,603,760

Proper Divisor Sum 2,471,249

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #5132497 ← → #5132513

Radix Representation

Decimal	5132511
Binary	10011100101000011011111 (23 bits)
Octal	0o23450337
Hexadecimal	0x4E50DF

Divisor Catalog (8)

1 3 9 27 190,093 570,279 1,710,837 5,132,511

Collatz Trajectory (219 steps to reach 1)

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

5,132,511 15,397,534 7,698,767 23,096,302 11,548,151 34,644,454 17,322,227 51,966,682 25,983,341 77,950,024 38,975,012 19,487,506 9,743,753 29,231,260 14,615,630 7,307,815 21,923,446 10,961,723 32,885,170 16,442,585 49,327,756 24,663,878 12,331,939 36,995,818 18,497,909 55,493,728 27,746,864 13,873,432 6,936,716 3,468,358 1,734,179 5,202,538 2,601,269 7,803,808 3,901,904 1,950,952 975,476 487,738 243,869 731,608 365,804 182,902 91,451 274,354 137,177 411,532 205,766 102,883 308,650 154,325 462,976 231,488 115,744 57,872 28,936 14,468 7,234 3,617 10,852 5,426

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