8,057,119

7² × 164431

Starting at 8,057,119, the Collatz iteration reaches 1 after 173 steps. The first transition is 24171358; the starting value is odd with 6 positive divisors.

Prime Factor Structure

Factorization String 7^2 × 164431

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 9,372,624

Proper Divisor Sum 1,315,505

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #8057089 ← → #8057123

Radix Representation

Decimal	8057119
Binary	11110101111000100011111 (23 bits)
Octal	0o36570437
Hexadecimal	0x7AF11F

Divisor Catalog (6)

1 7 49 164,431 1,151,017 8,057,119

Collatz Trajectory (173 steps to reach 1)

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

8,057,119 24,171,358 12,085,679 36,257,038 18,128,519 54,385,558 27,192,779 81,578,338 40,789,169 122,367,508 61,183,754 30,591,877 91,775,632 45,887,816 22,943,908 11,471,954 5,735,977 17,207,932 8,603,966 4,301,983 12,905,950 6,452,975 19,358,926 9,679,463 29,038,390 14,519,195 43,557,586 21,778,793 65,336,380 32,668,190 16,334,095 49,002,286 24,501,143 73,503,430 36,751,715 110,255,146 55,127,573 165,382,720 82,691,360 41,345,680 20,672,840 10,336,420 5,168,210 2,584,105 7,752,316 3,876,158 1,938,079 5,814,238 2,907,119 8,721,358 4,360,679 13,082,038 6,541,019 19,623,058 9,811,529 29,434,588 14,717,294 7,358,647 22,075,942 11,037,971

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