2,165,306

2 × 11 × 13 × 67 × 113

Starting at 2,165,306, the Collatz iteration reaches 1 after 210 steps. The first transition is 1082653; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 11 × 13 × 67 × 113

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 3,907,008

Proper Divisor Sum 1,741,702

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #2165291 ← → #2165321

Radix Representation

Decimal	2165306
Binary	1000010000101000111010 (22 bits)
Octal	0o10205072
Hexadecimal	0x210A3A

Divisor Catalog (32)

1 2 11 13 22 26 67 113 134 143 226 286 737 871 1,243 1,469 1,474 1,742 2,486 2,938 7,571 9,581 15,142 16,159 19,162 32,318 83,281 98,423 166,562 196,846 1,082,653 2,165,306

Collatz Trajectory (210 steps to reach 1)

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

2,165,306 1,082,653 3,247,960 1,623,980 811,990 405,995 1,217,986 608,993 1,826,980 913,490 456,745 1,370,236 685,118 342,559 1,027,678 513,839 1,541,518 770,759 2,312,278 1,156,139 3,468,418 1,734,209 5,202,628 2,601,314 1,300,657 3,901,972 1,950,986 975,493 2,926,480 1,463,240 731,620 365,810 182,905 548,716 274,358 137,179 411,538 205,769 617,308 308,654 154,327 462,982 231,491 694,474 347,237 1,041,712 520,856 260,428 130,214 65,107 195,322 97,661 292,984 146,492 73,246 36,623 109,870 54,935 164,806 82,403

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