4,218,410

2 × 5 × 7² × 8609

Starting at 4,218,410, the Collatz iteration reaches 1 after 48 steps. The first transition is 2109205; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 7^2 × 8609

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 8,833,860

Proper Divisor Sum 4,615,450

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #4218377 ← → #4218413

Radix Representation

Decimal	4218410
Binary	10000000101111000101010 (23 bits)
Octal	0o20057052
Hexadecimal	0x405E2A

Divisor Catalog (24)

1 2 5 7 10 14 35 49 70 98 245 490 8,609 17,218 43,045 60,263 86,090 120,526 301,315 421,841 602,630 843,682 2,109,205 4,218,410

Collatz Trajectory (48 steps to reach 1)

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

4,218,410 2,109,205 6,327,616 3,163,808 1,581,904 790,952 395,476 197,738 98,869 296,608 148,304 74,152 37,076 18,538 9,269 27,808 13,904 6,952 3,476 1,738 869 2,608 1,304 652 326 163 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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