4,859,358

2 × 3 × 7 × 37 × 53 × 59

Starting at 4,859,358, the Collatz iteration reaches 1 after 343 steps. The first transition is 2429679; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 37 × 53 × 59

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 11,819,520

Proper Divisor Sum 6,960,162

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #4859357 ← → #4859359

Radix Representation

Decimal	4859358
Binary	10010100010010111011110 (23 bits)
Octal	0o22422736
Hexadecimal	0x4A25DE

Divisor Catalog (60 of 64)

1 2 3 6 7 14 21 37 42 53 59 74 106 111 118 159 177 222 259 318 354 371 413 518 742 777 826 1,113 1,239 1,554 1,961 2,183 2,226 2,478 3,127 3,922 4,366 5,883 6,254 6,549 9,381 11,766 13,098 13,727 15,281 18,762 21,889 27,454 30,562 41,181 43,778 45,843 65,667 82,362 91,686 115,699 131,334 231,398 347,097 694,194

Collatz Trajectory (343 steps to reach 1)

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

4,859,358 2,429,679 7,289,038 3,644,519 10,933,558 5,466,779 16,400,338 8,200,169 24,600,508 12,300,254 6,150,127 18,450,382 9,225,191 27,675,574 13,837,787 41,513,362 20,756,681 62,270,044 31,135,022 15,567,511 46,702,534 23,351,267 70,053,802 35,026,901 105,080,704 52,540,352 26,270,176 13,135,088 6,567,544 3,283,772 1,641,886 820,943 2,462,830 1,231,415 3,694,246 1,847,123 5,541,370 2,770,685 8,312,056 4,156,028 2,078,014 1,039,007 3,117,022 1,558,511 4,675,534 2,337,767 7,013,302 3,506,651 10,519,954 5,259,977 15,779,932 7,889,966 3,944,983 11,834,950 5,917,475 17,752,426 8,876,213 26,628,640 13,314,320 6,657,160

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