7,275,768

2³ × 3 × 303157

Starting at 7,275,768, the Collatz iteration reaches 1 after 173 steps. The first transition is 3637884; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 303157

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 18,189,480

Proper Divisor Sum 10,913,712

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #7275757 ← → #7275769

Radix Representation

Decimal	7275768
Binary	11011110000010011111000 (23 bits)
Octal	0o33602370
Hexadecimal	0x6F04F8

Divisor Catalog (16)

1 2 3 4 6 8 12 24 303,157 606,314 909,471 1,212,628 1,818,942 2,425,256 3,637,884 7,275,768

Collatz Trajectory (173 steps to reach 1)

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

7,275,768 3,637,884 1,818,942 909,471 2,728,414 1,364,207 4,092,622 2,046,311 6,138,934 3,069,467 9,208,402 4,604,201 13,812,604 6,906,302 3,453,151 10,359,454 5,179,727 15,539,182 7,769,591 23,308,774 11,654,387 34,963,162 17,481,581 52,444,744 26,222,372 13,111,186 6,555,593 19,666,780 9,833,390 4,916,695 14,750,086 7,375,043 22,125,130 11,062,565 33,187,696 16,593,848 8,296,924 4,148,462 2,074,231 6,222,694 3,111,347 9,334,042 4,667,021 14,001,064 7,000,532 3,500,266 1,750,133 5,250,400 2,625,200 1,312,600 656,300 328,150 164,075 492,226 246,113 738,340 369,170 184,585 553,756 276,878

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