5,186,627

5186627

Starting at 5,186,627, the Collatz iteration reaches 1 after 180 steps. The first transition is 15559882; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 5186627

Distinct Prime Factors 1

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 2

Divisor Sum (σ) 5,186,628

Proper Divisor Sum 1

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #5186603 ← → #5186651

Radix Representation

Decimal	5186627
Binary	10011110010010001000011 (23 bits)
Octal	0o23622103
Hexadecimal	0x4F2443

Divisor Catalog (2)

1 5,186,627

Collatz Trajectory (180 steps to reach 1)

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

5,186,627 15,559,882 7,779,941 23,339,824 11,669,912 5,834,956 2,917,478 1,458,739 4,376,218 2,188,109 6,564,328 3,282,164 1,641,082 820,541 2,461,624 1,230,812 615,406 307,703 923,110 461,555 1,384,666 692,333 2,077,000 1,038,500 519,250 259,625 778,876 389,438 194,719 584,158 292,079 876,238 438,119 1,314,358 657,179 1,971,538 985,769 2,957,308 1,478,654 739,327 2,217,982 1,108,991 3,326,974 1,663,487 4,990,462 2,495,231 7,485,694 3,742,847 11,228,542 5,614,271 16,842,814 8,421,407 25,264,222 12,632,111 37,896,334 18,948,167 56,844,502 28,422,251 85,266,754 42,633,377

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