7,468,772

2² × 1867193

Starting at 7,468,772, the Collatz iteration reaches 1 after 248 steps. The first transition is 3734386; the starting value is even with 6 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 1867193

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 13,070,358

Proper Divisor Sum 5,601,586

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #7468771 ← → #7468781

Radix Representation

Decimal	7468772
Binary	11100011111011011100100 (23 bits)
Octal	0o34373344
Hexadecimal	0x71F6E4

Divisor Catalog (6)

1 2 4 1,867,193 3,734,386 7,468,772

Collatz Trajectory (248 steps to reach 1)

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

7,468,772 3,734,386 1,867,193 5,601,580 2,800,790 1,400,395 4,201,186 2,100,593 6,301,780 3,150,890 1,575,445 4,726,336 2,363,168 1,181,584 590,792 295,396 147,698 73,849 221,548 110,774 55,387 166,162 83,081 249,244 124,622 62,311 186,934 93,467 280,402 140,201 420,604 210,302 105,151 315,454 157,727 473,182 236,591 709,774 354,887 1,064,662 532,331 1,596,994 798,497 2,395,492 1,197,746 598,873 1,796,620 898,310 449,155 1,347,466 673,733 2,021,200 1,010,600 505,300 252,650 126,325 378,976 189,488 94,744 47,372

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