5,073,642

2 × 3² × 7 × 67 × 601

Starting at 5,073,642, the Collatz iteration reaches 1 after 131 steps. The first transition is 2536821; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 67 × 601

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 12,772,032

Proper Divisor Sum 7,698,390

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #5073631 ← → #5073643

Radix Representation

Decimal	5073642
Binary	10011010110101011101010 (23 bits)
Octal	0o23265352
Hexadecimal	0x4D6AEA

Divisor Catalog (48)

1 2 3 6 7 9 14 18 21 42 63 67 126 134 201 402 469 601 603 938 1,202 1,206 1,407 1,803 2,814 3,606 4,207 4,221 5,409 8,414 8,442 10,818 12,621 25,242 37,863 40,267 75,726 80,534 120,801 241,602 281,869 362,403 563,738 724,806 845,607 1,691,214 2,536,821 5,073,642

Collatz Trajectory (131 steps to reach 1)

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

5,073,642 2,536,821 7,610,464 3,805,232 1,902,616 951,308 475,654 237,827 713,482 356,741 1,070,224 535,112 267,556 133,778 66,889 200,668 100,334 50,167 150,502 75,251 225,754 112,877 338,632 169,316 84,658 42,329 126,988 63,494 31,747 95,242 47,621 142,864 71,432 35,716 17,858 8,929 26,788 13,394 6,697 20,092 10,046 5,023 15,070 7,535 22,606 11,303 33,910 16,955 50,866 25,433 76,300 38,150 19,075 57,226 28,613 85,840 42,920 21,460 10,730 5,365

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