7,576,934

2 × 17 × 19 × 37 × 317

Starting at 7,576,934, the Collatz iteration reaches 1 after 217 steps. The first transition is 3788467; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 17 × 19 × 37 × 317

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 13,050,720

Proper Divisor Sum 5,473,786

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #7576931 ← → #7576949

Radix Representation

Decimal	7576934
Binary	11100111001110101100110 (23 bits)
Octal	0o34716546
Hexadecimal	0x739D66

Divisor Catalog (32)

1 2 17 19 34 37 38 74 317 323 629 634 646 703 1,258 1,406 5,389 6,023 10,778 11,729 11,951 12,046 23,458 23,902 102,391 199,393 204,782 222,851 398,786 445,702 3,788,467 7,576,934

Collatz Trajectory (217 steps to reach 1)

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

7,576,934 3,788,467 11,365,402 5,682,701 17,048,104 8,524,052 4,262,026 2,131,013 6,393,040 3,196,520 1,598,260 799,130 399,565 1,198,696 599,348 299,674 149,837 449,512 224,756 112,378 56,189 168,568 84,284 42,142 21,071 63,214 31,607 94,822 47,411 142,234 71,117 213,352 106,676 53,338 26,669 80,008 40,004 20,002 10,001 30,004 15,002 7,501 22,504 11,252 5,626 2,813 8,440 4,220 2,110 1,055 3,166 1,583 4,750 2,375 7,126 3,563 10,690 5,345 16,036 8,018

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