7,343,498

2 × 199 × 18451

Starting at 7,343,498, the Collatz iteration reaches 1 after 85 steps. The first transition is 3671749; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 199 × 18451

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 11,071,200

Proper Divisor Sum 3,727,702

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #7343489 ← → #7343527

Radix Representation

Decimal	7343498
Binary	11100000000110110001010 (23 bits)
Octal	0o34006612
Hexadecimal	0x700D8A

Divisor Catalog (8)

1 2 199 398 18,451 36,902 3,671,749 7,343,498

Collatz Trajectory (85 steps to reach 1)

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

7,343,498 3,671,749 11,015,248 5,507,624 2,753,812 1,376,906 688,453 2,065,360 1,032,680 516,340 258,170 129,085 387,256 193,628 96,814 48,407 145,222 72,611 217,834 108,917 326,752 163,376 81,688 40,844 20,422 10,211 30,634 15,317 45,952 22,976 11,488 5,744 2,872 1,436 718 359 1,078 539 1,618 809 2,428 1,214 607 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

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