5,102,589

3 × 61 × 27883

Starting at 5,102,589, the Collatz iteration reaches 1 after 312 steps. The first transition is 15307768; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 61 × 27883

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 6,915,232

Proper Divisor Sum 1,812,643

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #5102563 ← → #5102593

Radix Representation

Decimal	5102589
Binary	10011011101101111111101 (23 bits)
Octal	0o23355775
Hexadecimal	0x4DDBFD

Divisor Catalog (8)

1 3 61 183 27,883 83,649 1,700,863 5,102,589

Collatz Trajectory (312 steps to reach 1)

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

5,102,589 15,307,768 7,653,884 3,826,942 1,913,471 5,740,414 2,870,207 8,610,622 4,305,311 12,915,934 6,457,967 19,373,902 9,686,951 29,060,854 14,530,427 43,591,282 21,795,641 65,386,924 32,693,462 16,346,731 49,040,194 24,520,097 73,560,292 36,780,146 18,390,073 55,170,220 27,585,110 13,792,555 41,377,666 20,688,833 62,066,500 31,033,250 15,516,625 46,549,876 23,274,938 11,637,469 34,912,408 17,456,204 8,728,102 4,364,051 13,092,154 6,546,077 19,638,232 9,819,116 4,909,558 2,454,779 7,364,338 3,682,169 11,046,508 5,523,254 2,761,627 8,284,882 4,142,441 12,427,324 6,213,662 3,106,831 9,320,494 4,660,247 13,980,742 6,990,371

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