8,265,412

2² × 401 × 5153

Starting at 8,265,412, the Collatz iteration reaches 1 after 80 steps. The first transition is 4132706; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 401 × 5153

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 14,503,356

Proper Divisor Sum 6,237,944

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #8265407 ← → #8265419

Radix Representation

Decimal	8265412
Binary	11111100001111011000100 (23 bits)
Octal	0o37417304
Hexadecimal	0x7E1EC4

Divisor Catalog (12)

1 2 4 401 802 1,604 5,153 10,306 20,612 2,066,353 4,132,706 8,265,412

Collatz Trajectory (80 steps to reach 1)

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

8,265,412 4,132,706 2,066,353 6,199,060 3,099,530 1,549,765 4,649,296 2,324,648 1,162,324 581,162 290,581 871,744 435,872 217,936 108,968 54,484 27,242 13,621 40,864 20,432 10,216 5,108 2,554 1,277 3,832 1,916 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244

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