3,825,512

2³ × 478189

Starting at 3,825,512, the Collatz iteration reaches 1 after 123 steps. The first transition is 1912756; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 478189

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 7,172,850

Proper Divisor Sum 3,347,338

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #3825511 ← → #3825529

Radix Representation

Decimal	3825512
Binary	1110100101111101101000 (22 bits)
Octal	0o16457550
Hexadecimal	0x3A5F68

Divisor Catalog (8)

1 2 4 8 478,189 956,378 1,912,756 3,825,512

Collatz Trajectory (123 steps to reach 1)

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

3,825,512 1,912,756 956,378 478,189 1,434,568 717,284 358,642 179,321 537,964 268,982 134,491 403,474 201,737 605,212 302,606 151,303 453,910 226,955 680,866 340,433 1,021,300 510,650 255,325 765,976 382,988 191,494 95,747 287,242 143,621 430,864 215,432 107,716 53,858 26,929 80,788 40,394 20,197 60,592 30,296 15,148 7,574 3,787 11,362 5,681 17,044 8,522 4,261 12,784 6,392 3,196 1,598 799 2,398 1,199 3,598 1,799 5,398 2,699 8,098 4,049

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