2,768,928

2⁵ × 3 × 28843

Starting at 2,768,928, the Collatz iteration reaches 1 after 169 steps. The first transition is 1384464; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 3 × 28843

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 7,268,688

Proper Divisor Sum 4,499,760

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #2768923 ← → #2768933

Radix Representation

Decimal	2768928
Binary	1010100100000000100000 (22 bits)
Octal	0o12440040
Hexadecimal	0x2A4020

Divisor Catalog (24)

1 2 3 4 6 8 12 16 24 32 48 96 28,843 57,686 86,529 115,372 173,058 230,744 346,116 461,488 692,232 922,976 1,384,464 2,768,928

Collatz Trajectory (169 steps to reach 1)

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

2,768,928 1,384,464 692,232 346,116 173,058 86,529 259,588 129,794 64,897 194,692 97,346 48,673 146,020 73,010 36,505 109,516 54,758 27,379 82,138 41,069 123,208 61,604 30,802 15,401 46,204 23,102 11,551 34,654 17,327 51,982 25,991 77,974 38,987 116,962 58,481 175,444 87,722 43,861 131,584 65,792 32,896 16,448 8,224 4,112 2,056 1,028 514 257 772 386 193 580 290 145 436 218 109 328 164 82

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