3,606,632

2³ × 450829

Starting at 3,606,632, the Collatz iteration reaches 1 after 71 steps. The first transition is 1803316; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 450829

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 6,762,450

Proper Divisor Sum 3,155,818

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #3606613 ← → #3606661

Radix Representation

Decimal	3606632
Binary	1101110000100001101000 (22 bits)
Octal	0o15604150
Hexadecimal	0x370868

Divisor Catalog (8)

1 2 4 8 450,829 901,658 1,803,316 3,606,632

Collatz Trajectory (71 steps to reach 1)

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

3,606,632 1,803,316 901,658 450,829 1,352,488 676,244 338,122 169,061 507,184 253,592 126,796 63,398 31,699 95,098 47,549 142,648 71,324 35,662 17,831 53,494 26,747 80,242 40,121 120,364 60,182 30,091 90,274 45,137 135,412 67,706 33,853 101,560 50,780 25,390 12,695 38,086 19,043 57,130 28,565 85,696 42,848 21,424 10,712 5,356 2,678 1,339 4,018 2,009 6,028 3,014 1,507 4,522 2,261 6,784 3,392 1,696 848 424 212 106

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