5,128,526

2 × 13 × 17 × 41 × 283

Starting at 5,128,526, the Collatz iteration reaches 1 after 294 steps. The first transition is 2564263; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 13 × 17 × 41 × 283

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 9,017,568

Proper Divisor Sum 3,889,042

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #5128523 ← → #5128549

Radix Representation

Decimal	5128526
Binary	10011100100000101001110 (23 bits)
Octal	0o23440516
Hexadecimal	0x4E414E

Divisor Catalog (32)

1 2 13 17 26 34 41 82 221 283 442 533 566 697 1,066 1,394 3,679 4,811 7,358 9,061 9,622 11,603 18,122 23,206 62,543 125,086 150,839 197,251 301,678 394,502 2,564,263 5,128,526

Collatz Trajectory (294 steps to reach 1)

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

5,128,526 2,564,263 7,692,790 3,846,395 11,539,186 5,769,593 17,308,780 8,654,390 4,327,195 12,981,586 6,490,793 19,472,380 9,736,190 4,868,095 14,604,286 7,302,143 21,906,430 10,953,215 32,859,646 16,429,823 49,289,470 24,644,735 73,934,206 36,967,103 110,901,310 55,450,655 166,351,966 83,175,983 249,527,950 124,763,975 374,291,926 187,145,963 561,437,890 280,718,945 842,156,836 421,078,418 210,539,209 631,617,628 315,808,814 157,904,407 473,713,222 236,856,611 710,569,834 355,284,917 1,065,854,752 532,927,376 266,463,688 133,231,844 66,615,922 33,307,961 99,923,884 49,961,942 24,980,971 74,942,914 37,471,457 112,414,372 56,207,186 28,103,593 84,310,780 42,155,390

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