3,649,077

3³ × 135151

Starting at 3,649,077, the Collatz iteration reaches 1 after 172 steps. The first transition is 10947232; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 135151

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 5,406,080

Proper Divisor Sum 1,757,003

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3649057 ← → #3649097

Radix Representation

Decimal	3649077
Binary	1101111010111000110101 (22 bits)
Octal	0o15727065
Hexadecimal	0x37AE35

Divisor Catalog (8)

1 3 9 27 135,151 405,453 1,216,359 3,649,077

Collatz Trajectory (172 steps to reach 1)

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

3,649,077 10,947,232 5,473,616 2,736,808 1,368,404 684,202 342,101 1,026,304 513,152 256,576 128,288 64,144 32,072 16,036 8,018 4,009 12,028 6,014 3,007 9,022 4,511 13,534 6,767 20,302 10,151 30,454 15,227 45,682 22,841 68,524 34,262 17,131 51,394 25,697 77,092 38,546 19,273 57,820 28,910 14,455 43,366 21,683 65,050 32,525 97,576 48,788 24,394 12,197 36,592 18,296 9,148 4,574 2,287 6,862 3,431 10,294 5,147 15,442 7,721 23,164

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