4,213,570

2 × 5 × 41 × 43 × 239

Starting at 4,213,570, the Collatz iteration reaches 1 after 128 steps. The first transition is 2106785; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 41 × 43 × 239

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 7,983,360

Proper Divisor Sum 3,769,790

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #4213567 ← → #4213589

Radix Representation

Decimal	4213570
Binary	10000000100101101000010 (23 bits)
Octal	0o20045502
Hexadecimal	0x404B42

Divisor Catalog (32)

1 2 5 10 41 43 82 86 205 215 239 410 430 478 1,195 1,763 2,390 3,526 8,815 9,799 10,277 17,630 19,598 20,554 48,995 51,385 97,990 102,770 421,357 842,714 2,106,785 4,213,570

Collatz Trajectory (128 steps to reach 1)

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

4,213,570 2,106,785 6,320,356 3,160,178 1,580,089 4,740,268 2,370,134 1,185,067 3,555,202 1,777,601 5,332,804 2,666,402 1,333,201 3,999,604 1,999,802 999,901 2,999,704 1,499,852 749,926 374,963 1,124,890 562,445 1,687,336 843,668 421,834 210,917 632,752 316,376 158,188 79,094 39,547 118,642 59,321 177,964 88,982 44,491 133,474 66,737 200,212 100,106 50,053 150,160 75,080 37,540 18,770 9,385 28,156 14,078 7,039 21,118 10,559 31,678 15,839 47,518 23,759 71,278 35,639 106,918 53,459 160,378

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