4,706,658

2 × 3² × 11² × 2161

Starting at 4,706,658, the Collatz iteration reaches 1 after 131 steps. The first transition is 2353329; the starting value is even with 36 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 11^2 × 2161

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 11,214,294

Proper Divisor Sum 6,507,636

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #4706657 ← → #4706711

Radix Representation

Decimal	4706658
Binary	10001111101000101100010 (23 bits)
Octal	0o21750542
Hexadecimal	0x47D162

Divisor Catalog (36)

1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 726 1,089 2,161 2,178 4,322 6,483 12,966 19,449 23,771 38,898 47,542 71,313 142,626 213,939 261,481 427,878 522,962 784,443 1,568,886 2,353,329 4,706,658

Collatz Trajectory (131 steps to reach 1)

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

4,706,658 2,353,329 7,059,988 3,529,994 1,764,997 5,294,992 2,647,496 1,323,748 661,874 330,937 992,812 496,406 248,203 744,610 372,305 1,116,916 558,458 279,229 837,688 418,844 209,422 104,711 314,134 157,067 471,202 235,601 706,804 353,402 176,701 530,104 265,052 132,526 66,263 198,790 99,395 298,186 149,093 447,280 223,640 111,820 55,910 27,955 83,866 41,933 125,800 62,900 31,450 15,725 47,176 23,588 11,794 5,897 17,692 8,846 4,423 13,270 6,635 19,906 9,953 29,860

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