4,462,210

2 × 5 × 446221

Starting at 4,462,210, the Collatz iteration reaches 1 after 180 steps. The first transition is 2231105; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 446221

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 8,031,996

Proper Divisor Sum 3,569,786

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #4462187 ← → #4462223

Radix Representation

Decimal	4462210
Binary	10001000001011010000010 (23 bits)
Octal	0o21013202
Hexadecimal	0x441682

Divisor Catalog (8)

1 2 5 10 446,221 892,442 2,231,105 4,462,210

Collatz Trajectory (180 steps to reach 1)

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

4,462,210 2,231,105 6,693,316 3,346,658 1,673,329 5,019,988 2,509,994 1,254,997 3,764,992 1,882,496 941,248 470,624 235,312 117,656 58,828 29,414 14,707 44,122 22,061 66,184 33,092 16,546 8,273 24,820 12,410 6,205 18,616 9,308 4,654 2,327 6,982 3,491 10,474 5,237 15,712 7,856 3,928 1,964 982 491 1,474 737 2,212 1,106 553 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738

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