5,265,253

7 × 223 × 3373

Starting at 5,265,253, the Collatz iteration reaches 1 after 144 steps. The first transition is 15795760; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 7 × 223 × 3373

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 6,046,208

Proper Divisor Sum 780,955

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #5265241 ← → #5265263

Radix Representation

Decimal	5265253
Binary	10100000101011101100101 (23 bits)
Octal	0o24053545
Hexadecimal	0x505765

Divisor Catalog (8)

1 7 223 1,561 3,373 23,611 752,179 5,265,253

Collatz Trajectory (144 steps to reach 1)

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

5,265,253 15,795,760 7,897,880 3,948,940 1,974,470 987,235 2,961,706 1,480,853 4,442,560 2,221,280 1,110,640 555,320 277,660 138,830 69,415 208,246 104,123 312,370 156,185 468,556 234,278 117,139 351,418 175,709 527,128 263,564 131,782 65,891 197,674 98,837 296,512 148,256 74,128 37,064 18,532 9,266 4,633 13,900 6,950 3,475 10,426 5,213 15,640 7,820 3,910 1,955 5,866 2,933 8,800 4,400 2,200 1,100 550 275 826 413 1,240 620 310 155

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