4,171,815

3² × 5 × 92707

Starting at 4,171,815, the Collatz iteration reaches 1 after 79 steps. The first transition is 12515446; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5 × 92707

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 7,231,224

Proper Divisor Sum 3,059,409

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #4171813 ← → #4171819

Radix Representation

Decimal	4171815
Binary	1111111010100000100111 (22 bits)
Octal	0o17724047
Hexadecimal	0x3FA827

Divisor Catalog (12)

1 3 5 9 15 45 92,707 278,121 463,535 834,363 1,390,605 4,171,815

Collatz Trajectory (79 steps to reach 1)

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

4,171,815 12,515,446 6,257,723 18,773,170 9,386,585 28,159,756 14,079,878 7,039,939 21,119,818 10,559,909 31,679,728 15,839,864 7,919,932 3,959,966 1,979,983 5,939,950 2,969,975 8,909,926 4,454,963 13,364,890 6,682,445 20,047,336 10,023,668 5,011,834 2,505,917 7,517,752 3,758,876 1,879,438 939,719 2,819,158 1,409,579 4,228,738 2,114,369 6,343,108 3,171,554 1,585,777 4,757,332 2,378,666 1,189,333 3,568,000 1,784,000 892,000 446,000 223,000 111,500 55,750 27,875 83,626 41,813 125,440 62,720 31,360 15,680 7,840 3,920 1,960 980 490 245 736

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