5,946,787

7² × 11² × 17 × 59

Starting at 5,946,787, the Collatz iteration reaches 1 after 165 steps. The first transition is 17840362; the starting value is odd with 36 positive divisors.

Prime Factor Structure

Factorization String 7^2 × 11^2 × 17 × 59

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 8,187,480

Proper Divisor Sum 2,240,693

Digit Sum / Digital Root 46 (Root: 1)

Adjacent Primes #5946767 ← → #5946793

Radix Representation

Decimal	5946787
Binary	10110101011110110100011 (23 bits)
Octal	0o26536643
Hexadecimal	0x5ABDA3

Divisor Catalog (36)

1 7 11 17 49 59 77 119 121 187 413 539 649 833 847 1,003 1,309 2,057 2,891 4,543 5,929 7,021 7,139 9,163 11,033 14,399 31,801 49,147 49,973 77,231 100,793 121,363 349,811 540,617 849,541 5,946,787

Collatz Trajectory (165 steps to reach 1)

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

5,946,787 17,840,362 8,920,181 26,760,544 13,380,272 6,690,136 3,345,068 1,672,534 836,267 2,508,802 1,254,401 3,763,204 1,881,602 940,801 2,822,404 1,411,202 705,601 2,116,804 1,058,402 529,201 1,587,604 793,802 396,901 1,190,704 595,352 297,676 148,838 74,419 223,258 111,629 334,888 167,444 83,722 41,861 125,584 62,792 31,396 15,698 7,849 23,548 11,774 5,887 17,662 8,831 26,494 13,247 39,742 19,871 59,614 29,807 89,422 44,711 134,134 67,067 201,202 100,601 301,804 150,902 75,451 226,354

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