4,073,052

2² × 3 × 131 × 2591

Starting at 4,073,052, the Collatz iteration reaches 1 after 110 steps. The first transition is 2036526; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 131 × 2591

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 9,580,032

Proper Divisor Sum 5,506,980

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #4073039 ← → #4073053

Radix Representation

Decimal	4073052
Binary	1111100010011001011100 (22 bits)
Octal	0o17423134
Hexadecimal	0x3E265C

Divisor Catalog (24)

1 2 3 4 6 12 131 262 393 524 786 1,572 2,591 5,182 7,773 10,364 15,546 31,092 339,421 678,842 1,018,263 1,357,684 2,036,526 4,073,052

Collatz Trajectory (110 steps to reach 1)

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

4,073,052 2,036,526 1,018,263 3,054,790 1,527,395 4,582,186 2,291,093 6,873,280 3,436,640 1,718,320 859,160 429,580 214,790 107,395 322,186 161,093 483,280 241,640 120,820 60,410 30,205 90,616 45,308 22,654 11,327 33,982 16,991 50,974 25,487 76,462 38,231 114,694 57,347 172,042 86,021 258,064 129,032 64,516 32,258 16,129 48,388 24,194 12,097 36,292 18,146 9,073 27,220 13,610 6,805 20,416 10,208 5,104 2,552 1,276 638 319 958 479 1,438 719

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