2,812,736

2⁶ × 71 × 619

Starting at 2,812,736, the Collatz iteration reaches 1 after 107 steps. The first transition is 1406368; the starting value is even with 28 positive divisors.

Prime Factor Structure

Factorization String 2^6 × 71 × 619

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 28

Divisor Sum (σ) 5,669,280

Proper Divisor Sum 2,856,544

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #2812729 ← → #2812751

Radix Representation

Decimal	2812736
Binary	1010101110101101000000 (22 bits)
Octal	0o12565500
Hexadecimal	0x2AEB40

Divisor Catalog (28)

1 2 4 8 16 32 64 71 142 284 568 619 1,136 1,238 2,272 2,476 4,544 4,952 9,904 19,808 39,616 43,949 87,898 175,796 351,592 703,184 1,406,368 2,812,736

Collatz Trajectory (107 steps to reach 1)

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

2,812,736 1,406,368 703,184 351,592 175,796 87,898 43,949 131,848 65,924 32,962 16,481 49,444 24,722 12,361 37,084 18,542 9,271 27,814 13,907 41,722 20,861 62,584 31,292 15,646 7,823 23,470 11,735 35,206 17,603 52,810 26,405 79,216 39,608 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

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