7,416,351

3² × 824039

Starting at 7,416,351, the Collatz iteration reaches 1 after 204 steps. The first transition is 22249054; the starting value is odd with 6 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 824039

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 10,712,520

Proper Divisor Sum 3,296,169

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #7416349 ← → #7416361

Radix Representation

Decimal	7416351
Binary	11100010010101000011111 (23 bits)
Octal	0o34225037
Hexadecimal	0x712A1F

Divisor Catalog (6)

1 3 9 824,039 2,472,117 7,416,351

Collatz Trajectory (204 steps to reach 1)

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

7,416,351 22,249,054 11,124,527 33,373,582 16,686,791 50,060,374 25,030,187 75,090,562 37,545,281 112,635,844 56,317,922 28,158,961 84,476,884 42,238,442 21,119,221 63,357,664 31,678,832 15,839,416 7,919,708 3,959,854 1,979,927 5,939,782 2,969,891 8,909,674 4,454,837 13,364,512 6,682,256 3,341,128 1,670,564 835,282 417,641 1,252,924 626,462 313,231 939,694 469,847 1,409,542 704,771 2,114,314 1,057,157 3,171,472 1,585,736 792,868 396,434 198,217 594,652 297,326 148,663 445,990 222,995 668,986 334,493 1,003,480 501,740 250,870 125,435 376,306 188,153 564,460 282,230

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