1,809,717

3 × 7² × 13 × 947

Starting at 1,809,717, the Collatz iteration reaches 1 after 65 steps. The first transition is 5429152; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3 × 7^2 × 13 × 947

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 3,026,016

Proper Divisor Sum 1,216,299

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #1809683 ← → #1809751

Radix Representation

Decimal	1809717
Binary	110111001110100110101 (21 bits)
Octal	0o6716465
Hexadecimal	0x1B9D35

Divisor Catalog (24)

1 3 7 13 21 39 49 91 147 273 637 947 1,911 2,841 6,629 12,311 19,887 36,933 46,403 86,177 139,209 258,531 603,239 1,809,717

Collatz Trajectory (65 steps to reach 1)

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

1,809,717 5,429,152 2,714,576 1,357,288 678,644 339,322 169,661 508,984 254,492 127,246 63,623 190,870 95,435 286,306 143,153 429,460 214,730 107,365 322,096 161,048 80,524 40,262 20,131 60,394 30,197 90,592 45,296 22,648 11,324 5,662 2,831 8,494 4,247 12,742 6,371 19,114 9,557 28,672 14,336 7,168 3,584 1,792 896 448 224 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10

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