4,218,180

2² × 3 × 5 × 229 × 307

Starting at 4,218,180, the Collatz iteration reaches 1 after 105 steps. The first transition is 2109090; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 229 × 307

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 11,901,120

Proper Divisor Sum 7,682,940

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #4218173 ← → #4218199

Radix Representation

Decimal	4218180
Binary	10000000101110101000100 (23 bits)
Octal	0o20056504
Hexadecimal	0x405D44

Divisor Catalog (48)

1 2 3 4 5 6 10 12 15 20 30 60 229 307 458 614 687 916 921 1,145 1,228 1,374 1,535 1,842 2,290 2,748 3,070 3,435 3,684 4,580 4,605 6,140 6,870 9,210 13,740 18,420 70,303 140,606 210,909 281,212 351,515 421,818 703,030 843,636 1,054,545 1,406,060 2,109,090 4,218,180

Collatz Trajectory (105 steps to reach 1)

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

4,218,180 2,109,090 1,054,545 3,163,636 1,581,818 790,909 2,372,728 1,186,364 593,182 296,591 889,774 444,887 1,334,662 667,331 2,001,994 1,000,997 3,002,992 1,501,496 750,748 375,374 187,687 563,062 281,531 844,594 422,297 1,266,892 633,446 316,723 950,170 475,085 1,425,256 712,628 356,314 178,157 534,472 267,236 133,618 66,809 200,428 100,214 50,107 150,322 75,161 225,484 112,742 56,371 169,114 84,557 253,672 126,836 63,418 31,709 95,128 47,564 23,782 11,891 35,674 17,837 53,512 26,756

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