4,478,420

2² × 5 × 223921

Starting at 4,478,420, the Collatz iteration reaches 1 after 149 steps. The first transition is 2239210; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 223921

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 9,404,724

Proper Divisor Sum 4,926,304

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #4478417 ← → #4478423

Radix Representation

Decimal	4478420
Binary	10001000101010111010100 (23 bits)
Octal	0o21052724
Hexadecimal	0x4455D4

Divisor Catalog (12)

1 2 4 5 10 20 223,921 447,842 895,684 1,119,605 2,239,210 4,478,420

Collatz Trajectory (149 steps to reach 1)

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

4,478,420 2,239,210 1,119,605 3,358,816 1,679,408 839,704 419,852 209,926 104,963 314,890 157,445 472,336 236,168 118,084 59,042 29,521 88,564 44,282 22,141 66,424 33,212 16,606 8,303 24,910 12,455 37,366 18,683 56,050 28,025 84,076 42,038 21,019 63,058 31,529 94,588 47,294 23,647 70,942 35,471 106,414 53,207 159,622 79,811 239,434 119,717 359,152 179,576 89,788 44,894 22,447 67,342 33,671 101,014 50,507 151,522 75,761 227,284 113,642 56,821 170,464

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