5,516,390

2 × 5 × 11² × 47 × 97

Starting at 5,516,390, the Collatz iteration reaches 1 after 108 steps. The first transition is 2758195; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 11^2 × 47 × 97

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 11,261,376

Proper Divisor Sum 5,744,986

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #5516281 ← → #5516393

Radix Representation

Decimal	5516390
Binary	10101000010110001100110 (23 bits)
Octal	0o25026146
Hexadecimal	0x542C66

Divisor Catalog (48)

1 2 5 10 11 22 47 55 94 97 110 121 194 235 242 470 485 517 605 970 1,034 1,067 1,210 2,134 2,585 4,559 5,170 5,335 5,687 9,118 10,670 11,374 11,737 22,795 23,474 28,435 45,590 50,149 56,870 58,685 100,298 117,370 250,745 501,490 551,639 1,103,278 2,758,195 5,516,390

Collatz Trajectory (108 steps to reach 1)

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

5,516,390 2,758,195 8,274,586 4,137,293 12,411,880 6,205,940 3,102,970 1,551,485 4,654,456 2,327,228 1,163,614 581,807 1,745,422 872,711 2,618,134 1,309,067 3,927,202 1,963,601 5,890,804 2,945,402 1,472,701 4,418,104 2,209,052 1,104,526 552,263 1,656,790 828,395 2,485,186 1,242,593 3,727,780 1,863,890 931,945 2,795,836 1,397,918 698,959 2,096,878 1,048,439 3,145,318 1,572,659 4,717,978 2,358,989 7,076,968 3,538,484 1,769,242 884,621 2,653,864 1,326,932 663,466 331,733 995,200 497,600 248,800 124,400 62,200 31,100 15,550 7,775 23,326 11,663 34,990

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