6,586,931

13 × 506687

Starting at 6,586,931, the Collatz iteration reaches 1 after 90 steps. The first transition is 19760794; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 13 × 506687

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 7,093,632

Proper Divisor Sum 506,701

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #6586927 ← → #6586961

Radix Representation

Decimal	6586931
Binary	11001001000001000110011 (23 bits)
Octal	0o31101063
Hexadecimal	0x648233

Divisor Catalog (4)

1 13 506,687 6,586,931

Collatz Trajectory (90 steps to reach 1)

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

6,586,931 19,760,794 9,880,397 29,641,192 14,820,596 7,410,298 3,705,149 11,115,448 5,557,724 2,778,862 1,389,431 4,168,294 2,084,147 6,252,442 3,126,221 9,378,664 4,689,332 2,344,666 1,172,333 3,517,000 1,758,500 879,250 439,625 1,318,876 659,438 329,719 989,158 494,579 1,483,738 741,869 2,225,608 1,112,804 556,402 278,201 834,604 417,302 208,651 625,954 312,977 938,932 469,466 234,733 704,200 352,100 176,050 88,025 264,076 132,038 66,019 198,058 99,029 297,088 148,544 74,272 37,136 18,568 9,284 4,642 2,321 6,964

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