1,582,446

2 × 3 × 23 × 11467

Starting at 1,582,446, the Collatz iteration reaches 1 after 101 steps. The first transition is 791223; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 23 × 11467

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 3,302,784

Proper Divisor Sum 1,720,338

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #1582429 ← → #1582447

Radix Representation

Decimal	1582446
Binary	110000010010101101110 (21 bits)
Octal	0o6022556
Hexadecimal	0x18256E

Divisor Catalog (16)

1 2 3 6 23 46 69 138 11,467 22,934 34,401 68,802 263,741 527,482 791,223 1,582,446

Collatz Trajectory (101 steps to reach 1)

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

1,582,446 791,223 2,373,670 1,186,835 3,560,506 1,780,253 5,340,760 2,670,380 1,335,190 667,595 2,002,786 1,001,393 3,004,180 1,502,090 751,045 2,253,136 1,126,568 563,284 281,642 140,821 422,464 211,232 105,616 52,808 26,404 13,202 6,601 19,804 9,902 4,951 14,854 7,427 22,282 11,141 33,424 16,712 8,356 4,178 2,089 6,268 3,134 1,567 4,702 2,351 7,054 3,527 10,582 5,291 15,874 7,937 23,812 11,906 5,953 17,860 8,930 4,465 13,396 6,698 3,349 10,048

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