4,220,868

2² × 3 × 23 × 41 × 373

Starting at 4,220,868, the Collatz iteration reaches 1 after 105 steps. The first transition is 2110434; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 23 × 41 × 373

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 10,555,776

Proper Divisor Sum 6,334,908

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #4220861 ← → #4220873

Radix Representation

Decimal	4220868
Binary	10000000110011111000100 (23 bits)
Octal	0o20063704
Hexadecimal	0x4067C4

Divisor Catalog (48)

1 2 3 4 6 12 23 41 46 69 82 92 123 138 164 246 276 373 492 746 943 1,119 1,492 1,886 2,238 2,829 3,772 4,476 5,658 8,579 11,316 15,293 17,158 25,737 30,586 34,316 45,879 51,474 61,172 91,758 102,948 183,516 351,739 703,478 1,055,217 1,406,956 2,110,434 4,220,868

Collatz Trajectory (105 steps to reach 1)

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

4,220,868 2,110,434 1,055,217 3,165,652 1,582,826 791,413 2,374,240 1,187,120 593,560 296,780 148,390 74,195 222,586 111,293 333,880 166,940 83,470 41,735 125,206 62,603 187,810 93,905 281,716 140,858 70,429 211,288 105,644 52,822 26,411 79,234 39,617 118,852 59,426 29,713 89,140 44,570 22,285 66,856 33,428 16,714 8,357 25,072 12,536 6,268 3,134 1,567 4,702 2,351 7,054 3,527 10,582 5,291 15,874 7,937 23,812 11,906 5,953 17,860 8,930 4,465

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