4,477,050

2 × 3² × 5² × 9949

Starting at 4,477,050, the Collatz iteration reaches 1 after 180 steps. The first transition is 2238525; the starting value is even with 36 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 5^2 × 9949

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 12,029,550

Proper Divisor Sum 7,552,500

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #4477043 ← → #4477061

Radix Representation

Decimal	4477050
Binary	10001000101000001111010 (23 bits)
Octal	0o21050172
Hexadecimal	0x44507A

Divisor Catalog (36)

1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 9,949 19,898 29,847 49,745 59,694 89,541 99,490 149,235 179,082 248,725 298,470 447,705 497,450 746,175 895,410 1,492,350 2,238,525 4,477,050

Collatz Trajectory (180 steps to reach 1)

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

4,477,050 2,238,525 6,715,576 3,357,788 1,678,894 839,447 2,518,342 1,259,171 3,777,514 1,888,757 5,666,272 2,833,136 1,416,568 708,284 354,142 177,071 531,214 265,607 796,822 398,411 1,195,234 597,617 1,792,852 896,426 448,213 1,344,640 672,320 336,160 168,080 84,040 42,020 21,010 10,505 31,516 15,758 7,879 23,638 11,819 35,458 17,729 53,188 26,594 13,297 39,892 19,946 9,973 29,920 14,960 7,480 3,740 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738

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