7,180,405

5 × 37² × 1049

Starting at 7,180,405, the Collatz iteration reaches 1 after 160 steps. The first transition is 21541216; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 5 × 37^2 × 1049

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 8,864,100

Proper Divisor Sum 1,683,695

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #7180399 ← → #7180421

Radix Representation

Decimal	7180405
Binary	11011011001000001110101 (23 bits)
Octal	0o33310165
Hexadecimal	0x6D9075

Divisor Catalog (12)

1 5 37 185 1,049 1,369 5,245 6,845 38,813 194,065 1,436,081 7,180,405

Collatz Trajectory (160 steps to reach 1)

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

7,180,405 21,541,216 10,770,608 5,385,304 2,692,652 1,346,326 673,163 2,019,490 1,009,745 3,029,236 1,514,618 757,309 2,271,928 1,135,964 567,982 283,991 851,974 425,987 1,277,962 638,981 1,916,944 958,472 479,236 239,618 119,809 359,428 179,714 89,857 269,572 134,786 67,393 202,180 101,090 50,545 151,636 75,818 37,909 113,728 56,864 28,432 14,216 7,108 3,554 1,777 5,332 2,666 1,333 4,000 2,000 1,000 500 250 125 376 188 94 47 142 71 214

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