8,443,747

13² × 17 × 2939

Starting at 8,443,747, the Collatz iteration reaches 1 after 75 steps. The first transition is 25331242; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 13^2 × 17 × 2939

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 9,684,360

Proper Divisor Sum 1,240,613

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #8443739 ← → #8443751

Radix Representation

Decimal	8443747
Binary	100000001101011101100011 (24 bits)
Octal	0o40153543
Hexadecimal	0x80D763

Divisor Catalog (12)

1 13 17 169 221 2,873 2,939 38,207 49,963 496,691 649,519 8,443,747

Collatz Trajectory (75 steps to reach 1)

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

8,443,747 25,331,242 12,665,621 37,996,864 18,998,432 9,499,216 4,749,608 2,374,804 1,187,402 593,701 1,781,104 890,552 445,276 222,638 111,319 333,958 166,979 500,938 250,469 751,408 375,704 187,852 93,926 46,963 140,890 70,445 211,336 105,668 52,834 26,417 79,252 39,626 19,813 59,440 29,720 14,860 7,430 3,715 11,146 5,573 16,720 8,360 4,180 2,090 1,045 3,136 1,568 784 392 196 98 49 148 74 37 112 56 28 14 7

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