1,309,506

2 × 3 × 11 × 19841

Starting at 1,309,506, the Collatz iteration reaches 1 after 124 steps. The first transition is 654753; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 11 × 19841

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 2,857,248

Proper Divisor Sum 1,547,742

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #1309501 ← → #1309513

Radix Representation

Decimal	1309506
Binary	100111111101101000010 (21 bits)
Octal	0o4775502
Hexadecimal	0x13FB42

Divisor Catalog (16)

1 2 3 6 11 22 33 66 19,841 39,682 59,523 119,046 218,251 436,502 654,753 1,309,506

Collatz Trajectory (124 steps to reach 1)

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

1,309,506 654,753 1,964,260 982,130 491,065 1,473,196 736,598 368,299 1,104,898 552,449 1,657,348 828,674 414,337 1,243,012 621,506 310,753 932,260 466,130 233,065 699,196 349,598 174,799 524,398 262,199 786,598 393,299 1,179,898 589,949 1,769,848 884,924 442,462 221,231 663,694 331,847 995,542 497,771 1,493,314 746,657 2,239,972 1,119,986 559,993 1,679,980 839,990 419,995 1,259,986 629,993 1,889,980 944,990 472,495 1,417,486 708,743 2,126,230 1,063,115 3,189,346 1,594,673 4,784,020 2,392,010 1,196,005 3,588,016 1,794,008

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