4,708,380

2² × 3 × 5 × 97 × 809

Starting at 4,708,380, the Collatz iteration reaches 1 after 162 steps. The first transition is 2354190; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 97 × 809

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 13,335,840

Proper Divisor Sum 8,627,460

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #4708357 ← → #4708381

Radix Representation

Decimal	4708380
Binary	10001111101100000011100 (23 bits)
Octal	0o21754034
Hexadecimal	0x47D81C

Divisor Catalog (48)

1 2 3 4 5 6 10 12 15 20 30 60 97 194 291 388 485 582 809 970 1,164 1,455 1,618 1,940 2,427 2,910 3,236 4,045 4,854 5,820 8,090 9,708 12,135 16,180 24,270 48,540 78,473 156,946 235,419 313,892 392,365 470,838 784,730 941,676 1,177,095 1,569,460 2,354,190 4,708,380

Collatz Trajectory (162 steps to reach 1)

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

4,708,380 2,354,190 1,177,095 3,531,286 1,765,643 5,296,930 2,648,465 7,945,396 3,972,698 1,986,349 5,959,048 2,979,524 1,489,762 744,881 2,234,644 1,117,322 558,661 1,675,984 837,992 418,996 209,498 104,749 314,248 157,124 78,562 39,281 117,844 58,922 29,461 88,384 44,192 22,096 11,048 5,524 2,762 1,381 4,144 2,072 1,036 518 259 778 389 1,168 584 292 146 73 220 110 55 166 83 250 125 376 188 94 47 142

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