5,304,168

2³ × 3² × 23 × 3203

Starting at 5,304,168, the Collatz iteration reaches 1 after 126 steps. The first transition is 2652084; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 23 × 3203

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 14,994,720

Proper Divisor Sum 9,690,552

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #5304163 ← → #5304199

Radix Representation

Decimal	5304168
Binary	10100001110111101101000 (23 bits)
Octal	0o24167550
Hexadecimal	0x50EF68

Divisor Catalog (48)

1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 552 828 1,656 3,203 6,406 9,609 12,812 19,218 25,624 28,827 38,436 57,654 73,669 76,872 115,308 147,338 221,007 230,616 294,676 442,014 589,352 663,021 884,028 1,326,042 1,768,056 2,652,084 5,304,168

Collatz Trajectory (126 steps to reach 1)

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

5,304,168 2,652,084 1,326,042 663,021 1,989,064 994,532 497,266 248,633 745,900 372,950 186,475 559,426 279,713 839,140 419,570 209,785 629,356 314,678 157,339 472,018 236,009 708,028 354,014 177,007 531,022 265,511 796,534 398,267 1,194,802 597,401 1,792,204 896,102 448,051 1,344,154 672,077 2,016,232 1,008,116 504,058 252,029 756,088 378,044 189,022 94,511 283,534 141,767 425,302 212,651 637,954 318,977 956,932 478,466 239,233 717,700 358,850 179,425 538,276 269,138 134,569 403,708 201,854

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