3,605,736

2³ × 3 × 150239

Starting at 3,605,736, the Collatz iteration reaches 1 after 89 steps. The first transition is 1802868; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 150239

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 9,014,400

Proper Divisor Sum 5,408,664

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #3605711 ← → #3605741

Radix Representation

Decimal	3605736
Binary	1101110000010011101000 (22 bits)
Octal	0o15602350
Hexadecimal	0x3704E8

Divisor Catalog (16)

1 2 3 4 6 8 12 24 150,239 300,478 450,717 600,956 901,434 1,201,912 1,802,868 3,605,736

Collatz Trajectory (89 steps to reach 1)

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

3,605,736 1,802,868 901,434 450,717 1,352,152 676,076 338,038 169,019 507,058 253,529 760,588 380,294 190,147 570,442 285,221 855,664 427,832 213,916 106,958 53,479 160,438 80,219 240,658 120,329 360,988 180,494 90,247 270,742 135,371 406,114 203,057 609,172 304,586 152,293 456,880 228,440 114,220 57,110 28,555 85,666 42,833 128,500 64,250 32,125 96,376 48,188 24,094 12,047 36,142 18,071 54,214 27,107 81,322 40,661 121,984 60,992 30,496 15,248 7,624 3,812

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