5,259,436

2² × 7 × 13 × 14449

Starting at 5,259,436, the Collatz iteration reaches 1 after 188 steps. The first transition is 2629718; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 7 × 13 × 14449

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 11,328,800

Proper Divisor Sum 6,069,364

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #5259427 ← → #5259473

Radix Representation

Decimal	5259436
Binary	10100000100000010101100 (23 bits)
Octal	0o24040254
Hexadecimal	0x5040AC

Divisor Catalog (24)

1 2 4 7 13 14 26 28 52 91 182 364 14,449 28,898 57,796 101,143 187,837 202,286 375,674 404,572 751,348 1,314,859 2,629,718 5,259,436

Collatz Trajectory (188 steps to reach 1)

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

5,259,436 2,629,718 1,314,859 3,944,578 1,972,289 5,916,868 2,958,434 1,479,217 4,437,652 2,218,826 1,109,413 3,328,240 1,664,120 832,060 416,030 208,015 624,046 312,023 936,070 468,035 1,404,106 702,053 2,106,160 1,053,080 526,540 263,270 131,635 394,906 197,453 592,360 296,180 148,090 74,045 222,136 111,068 55,534 27,767 83,302 41,651 124,954 62,477 187,432 93,716 46,858 23,429 70,288 35,144 17,572 8,786 4,393 13,180 6,590 3,295 9,886 4,943 14,830 7,415 22,246 11,123 33,370

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