4,003,605

3² × 5 × 88969

Starting at 4,003,605, the Collatz iteration reaches 1 after 48 steps. The first transition is 12010816; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5 × 88969

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,939,660

Proper Divisor Sum 2,936,055

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #4003579 ← → #4003663

Radix Representation

Decimal	4003605
Binary	1111010001011100010101 (22 bits)
Octal	0o17213425
Hexadecimal	0x3D1715

Divisor Catalog (12)

1 3 5 9 15 45 88,969 266,907 444,845 800,721 1,334,535 4,003,605

Collatz Trajectory (48 steps to reach 1)

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

4,003,605 12,010,816 6,005,408 3,002,704 1,501,352 750,676 375,338 187,669 563,008 281,504 140,752 70,376 35,188 17,594 8,797 26,392 13,196 6,598 3,299 9,898 4,949 14,848 7,424 3,712 1,856 928 464 232 116 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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