7,426,803

3 × 373 × 6637

Starting at 7,426,803, the Collatz iteration reaches 1 after 297 steps. The first transition is 22280410; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 373 × 6637

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 9,930,448

Proper Divisor Sum 2,503,645

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #7426789 ← → #7426817

Radix Representation

Decimal	7426803
Binary	11100010101001011110011 (23 bits)
Octal	0o34251363
Hexadecimal	0x7152F3

Divisor Catalog (8)

1 3 373 1,119 6,637 19,911 2,475,601 7,426,803

Collatz Trajectory (297 steps to reach 1)

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

7,426,803 22,280,410 11,140,205 33,420,616 16,710,308 8,355,154 4,177,577 12,532,732 6,266,366 3,133,183 9,399,550 4,699,775 14,099,326 7,049,663 21,148,990 10,574,495 31,723,486 15,861,743 47,585,230 23,792,615 71,377,846 35,688,923 107,066,770 53,533,385 160,600,156 80,300,078 40,150,039 120,450,118 60,225,059 180,675,178 90,337,589 271,012,768 135,506,384 67,753,192 33,876,596 16,938,298 8,469,149 25,407,448 12,703,724 6,351,862 3,175,931 9,527,794 4,763,897 14,291,692 7,145,846 3,572,923 10,718,770 5,359,385 16,078,156 8,039,078 4,019,539 12,058,618 6,029,309 18,087,928 9,043,964 4,521,982 2,260,991 6,782,974 3,391,487 10,174,462

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