5,206,585

5 × 1041317

Starting at 5,206,585, the Collatz iteration reaches 1 after 131 steps. The first transition is 15619756; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 5 × 1041317

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 6,247,908

Proper Divisor Sum 1,041,323

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #5206571 ← → #5206609

Radix Representation

Decimal	5206585
Binary	10011110111001000111001 (23 bits)
Octal	0o23671071
Hexadecimal	0x4F7239

Divisor Catalog (4)

1 5 1,041,317 5,206,585

Collatz Trajectory (131 steps to reach 1)

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

5,206,585 15,619,756 7,809,878 3,904,939 11,714,818 5,857,409 17,572,228 8,786,114 4,393,057 13,179,172 6,589,586 3,294,793 9,884,380 4,942,190 2,471,095 7,413,286 3,706,643 11,119,930 5,559,965 16,679,896 8,339,948 4,169,974 2,084,987 6,254,962 3,127,481 9,382,444 4,691,222 2,345,611 7,036,834 3,518,417 10,555,252 5,277,626 2,638,813 7,916,440 3,958,220 1,979,110 989,555 2,968,666 1,484,333 4,453,000 2,226,500 1,113,250 556,625 1,669,876 834,938 417,469 1,252,408 626,204 313,102 156,551 469,654 234,827 704,482 352,241 1,056,724 528,362 264,181 792,544 396,272 198,136

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