5,302,048

2⁵ × 223 × 743

Starting at 5,302,048, the Collatz iteration reaches 1 after 69 steps. The first transition is 2651024; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 223 × 743

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 10,499,328

Proper Divisor Sum 5,197,280

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #5302027 ← → #5302069

Radix Representation

Decimal	5302048
Binary	10100001110011100100000 (23 bits)
Octal	0o24163440
Hexadecimal	0x50E720

Divisor Catalog (24)

1 2 4 8 16 32 223 446 743 892 1,486 1,784 2,972 3,568 5,944 7,136 11,888 23,776 165,689 331,378 662,756 1,325,512 2,651,024 5,302,048

Collatz Trajectory (69 steps to reach 1)

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

5,302,048 2,651,024 1,325,512 662,756 331,378 165,689 497,068 248,534 124,267 372,802 186,401 559,204 279,602 139,801 419,404 209,702 104,851 314,554 157,277 471,832 235,916 117,958 58,979 176,938 88,469 265,408 132,704 66,352 33,176 16,588 8,294 4,147 12,442 6,221 18,664 9,332 4,666 2,333 7,000 3,500 1,750 875 2,626 1,313 3,940 1,970 985 2,956 1,478 739 2,218 1,109 3,328 1,664 832 416 208 104 52 26

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