4,778,226

2 × 3² × 179 × 1483

Starting at 4,778,226, the Collatz iteration reaches 1 after 100 steps. The first transition is 2389113; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 179 × 1483

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 10,417,680

Proper Divisor Sum 5,639,454

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #4778197 ← → #4778231

Radix Representation

Decimal	4778226
Binary	10010001110100011110010 (23 bits)
Octal	0o22164362
Hexadecimal	0x48E8F2

Divisor Catalog (24)

1 2 3 6 9 18 179 358 537 1,074 1,483 1,611 2,966 3,222 4,449 8,898 13,347 26,694 265,457 530,914 796,371 1,592,742 2,389,113 4,778,226

Collatz Trajectory (100 steps to reach 1)

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

4,778,226 2,389,113 7,167,340 3,583,670 1,791,835 5,375,506 2,687,753 8,063,260 4,031,630 2,015,815 6,047,446 3,023,723 9,071,170 4,535,585 13,606,756 6,803,378 3,401,689 10,205,068 5,102,534 2,551,267 7,653,802 3,826,901 11,480,704 5,740,352 2,870,176 1,435,088 717,544 358,772 179,386 89,693 269,080 134,540 67,270 33,635 100,906 50,453 151,360 75,680 37,840 18,920 9,460 4,730 2,365 7,096 3,548 1,774 887 2,662 1,331 3,994 1,997 5,992 2,996 1,498 749 2,248 1,124 562 281 844

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