4,417,852

2² × 757 × 1459

Starting at 4,417,852, the Collatz iteration reaches 1 after 167 steps. The first transition is 2208926; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 757 × 1459

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 7,746,760

Proper Divisor Sum 3,328,908

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #4417813 ← → #4417883

Radix Representation

Decimal	4417852
Binary	10000110110100100111100 (23 bits)
Octal	0o20664474
Hexadecimal	0x43693C

Divisor Catalog (12)

1 2 4 757 1,459 1,514 2,918 3,028 5,836 1,104,463 2,208,926 4,417,852

Collatz Trajectory (167 steps to reach 1)

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

4,417,852 2,208,926 1,104,463 3,313,390 1,656,695 4,970,086 2,485,043 7,455,130 3,727,565 11,182,696 5,591,348 2,795,674 1,397,837 4,193,512 2,096,756 1,048,378 524,189 1,572,568 786,284 393,142 196,571 589,714 294,857 884,572 442,286 221,143 663,430 331,715 995,146 497,573 1,492,720 746,360 373,180 186,590 93,295 279,886 139,943 419,830 209,915 629,746 314,873 944,620 472,310 236,155 708,466 354,233 1,062,700 531,350 265,675 797,026 398,513 1,195,540 597,770 298,885 896,656 448,328 224,164 112,082 56,041 168,124

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