5,253,388

2² × 7⁴ × 547

Starting at 5,253,388, the Collatz iteration reaches 1 after 157 steps. The first transition is 2626694; the starting value is even with 30 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 7^4 × 547

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 30

Divisor Sum (σ) 10,744,636

Proper Divisor Sum 5,491,248

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #5253383 ← → #5253397

Radix Representation

Decimal	5253388
Binary	10100000010100100001100 (23 bits)
Octal	0o24024414
Hexadecimal	0x50290C

Divisor Catalog (30)

1 2 4 7 14 28 49 98 196 343 547 686 1,094 1,372 2,188 2,401 3,829 4,802 7,658 9,604 15,316 26,803 53,606 107,212 187,621 375,242 750,484 1,313,347 2,626,694 5,253,388

Collatz Trajectory (157 steps to reach 1)

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

5,253,388 2,626,694 1,313,347 3,940,042 1,970,021 5,910,064 2,955,032 1,477,516 738,758 369,379 1,108,138 554,069 1,662,208 831,104 415,552 207,776 103,888 51,944 25,972 12,986 6,493 19,480 9,740 4,870 2,435 7,306 3,653 10,960 5,480 2,740 1,370 685 2,056 1,028 514 257 772 386 193 580 290 145 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161

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