6,123,808

2⁵ × 17 × 11257

Starting at 6,123,808, the Collatz iteration reaches 1 after 183 steps. The first transition is 3061904; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 17 × 11257

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 12,766,572

Proper Divisor Sum 6,642,764

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #6123797 ← → #6123829

Radix Representation

Decimal	6123808
Binary	10111010111000100100000 (23 bits)
Octal	0o27270440
Hexadecimal	0x5D7120

Divisor Catalog (24)

1 2 4 8 16 17 32 34 68 136 272 544 11,257 22,514 45,028 90,056 180,112 191,369 360,224 382,738 765,476 1,530,952 3,061,904 6,123,808

Collatz Trajectory (183 steps to reach 1)

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

6,123,808 3,061,904 1,530,952 765,476 382,738 191,369 574,108 287,054 143,527 430,582 215,291 645,874 322,937 968,812 484,406 242,203 726,610 363,305 1,089,916 544,958 272,479 817,438 408,719 1,226,158 613,079 1,839,238 919,619 2,758,858 1,379,429 4,138,288 2,069,144 1,034,572 517,286 258,643 775,930 387,965 1,163,896 581,948 290,974 145,487 436,462 218,231 654,694 327,347 982,042 491,021 1,473,064 736,532 368,266 184,133 552,400 276,200 138,100 69,050 34,525 103,576 51,788 25,894 12,947 38,842

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