2,109,376

2⁶ × 23 × 1433

Starting at 2,109,376, the Collatz iteration reaches 1 after 127 steps. The first transition is 1054688; the starting value is even with 28 positive divisors.

Prime Factor Structure

Factorization String 2^6 × 23 × 1433

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 28

Divisor Sum (σ) 4,370,832

Proper Divisor Sum 2,261,456

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #2109329 ← → #2109391

Radix Representation

Decimal	2109376
Binary	1000000010111111000000 (22 bits)
Octal	0o10027700
Hexadecimal	0x202FC0

Divisor Catalog (28)

1 2 4 8 16 23 32 46 64 92 184 368 736 1,433 1,472 2,866 5,732 11,464 22,928 32,959 45,856 65,918 91,712 131,836 263,672 527,344 1,054,688 2,109,376

Collatz Trajectory (127 steps to reach 1)

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

2,109,376 1,054,688 527,344 263,672 131,836 65,918 32,959 98,878 49,439 148,318 74,159 222,478 111,239 333,718 166,859 500,578 250,289 750,868 375,434 187,717 563,152 281,576 140,788 70,394 35,197 105,592 52,796 26,398 13,199 39,598 19,799 59,398 29,699 89,098 44,549 133,648 66,824 33,412 16,706 8,353 25,060 12,530 6,265 18,796 9,398 4,699 14,098 7,049 21,148 10,574 5,287 15,862 7,931 23,794 11,897 35,692 17,846 8,923 26,770 13,385

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