7,050,177

3² × 593 × 1321

Starting at 7,050,177, the Collatz iteration reaches 1 after 129 steps. The first transition is 21150532; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 593 × 1321

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 10,208,484

Proper Divisor Sum 3,158,307

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #7050133 ← → #7050187

Radix Representation

Decimal	7050177
Binary	11010111001001111000001 (23 bits)
Octal	0o32711701
Hexadecimal	0x6B93C1

Divisor Catalog (12)

1 3 9 593 1,321 1,779 3,963 5,337 11,889 783,353 2,350,059 7,050,177

Collatz Trajectory (129 steps to reach 1)

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

7,050,177 21,150,532 10,575,266 5,287,633 15,862,900 7,931,450 3,965,725 11,897,176 5,948,588 2,974,294 1,487,147 4,461,442 2,230,721 6,692,164 3,346,082 1,673,041 5,019,124 2,509,562 1,254,781 3,764,344 1,882,172 941,086 470,543 1,411,630 705,815 2,117,446 1,058,723 3,176,170 1,588,085 4,764,256 2,382,128 1,191,064 595,532 297,766 148,883 446,650 223,325 669,976 334,988 167,494 83,747 251,242 125,621 376,864 188,432 94,216 47,108 23,554 11,777 35,332 17,666 8,833 26,500 13,250 6,625 19,876 9,938 4,969 14,908 7,454

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