7,183,178

2 × 19² × 9949

Starting at 7,183,178, the Collatz iteration reaches 1 after 142 steps. The first transition is 3591589; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2 × 19^2 × 9949

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 11,372,850

Proper Divisor Sum 4,189,672

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #7183139 ← → #7183201

Radix Representation

Decimal	7183178
Binary	11011011001101101001010 (23 bits)
Octal	0o33315512
Hexadecimal	0x6D9B4A

Divisor Catalog (12)

1 2 19 38 361 722 9,949 19,898 189,031 378,062 3,591,589 7,183,178

Collatz Trajectory (142 steps to reach 1)

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

7,183,178 3,591,589 10,774,768 5,387,384 2,693,692 1,346,846 673,423 2,020,270 1,010,135 3,030,406 1,515,203 4,545,610 2,272,805 6,818,416 3,409,208 1,704,604 852,302 426,151 1,278,454 639,227 1,917,682 958,841 2,876,524 1,438,262 719,131 2,157,394 1,078,697 3,236,092 1,618,046 809,023 2,427,070 1,213,535 3,640,606 1,820,303 5,460,910 2,730,455 8,191,366 4,095,683 12,287,050 6,143,525 18,430,576 9,215,288 4,607,644 2,303,822 1,151,911 3,455,734 1,727,867 5,183,602 2,591,801 7,775,404 3,887,702 1,943,851 5,831,554 2,915,777 8,747,332 4,373,666 2,186,833 6,560,500 3,280,250 1,640,125

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