3,597,380

2² × 5 × 43 × 47 × 89

Starting at 3,597,380, the Collatz iteration reaches 1 after 190 steps. The first transition is 1798690; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 43 × 47 × 89

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 7,983,360

Proper Divisor Sum 4,385,980

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #3597379 ← → #3597383

Radix Representation

Decimal	3597380
Binary	1101101110010001000100 (22 bits)
Octal	0o15562104
Hexadecimal	0x36E444

Divisor Catalog (48)

1 2 4 5 10 20 43 47 86 89 94 172 178 188 215 235 356 430 445 470 860 890 940 1,780 2,021 3,827 4,042 4,183 7,654 8,084 8,366 10,105 15,308 16,732 19,135 20,210 20,915 38,270 40,420 41,830 76,540 83,660 179,869 359,738 719,476 899,345 1,798,690 3,597,380

Collatz Trajectory (190 steps to reach 1)

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

3,597,380 1,798,690 899,345 2,698,036 1,349,018 674,509 2,023,528 1,011,764 505,882 252,941 758,824 379,412 189,706 94,853 284,560 142,280 71,140 35,570 17,785 53,356 26,678 13,339 40,018 20,009 60,028 30,014 15,007 45,022 22,511 67,534 33,767 101,302 50,651 151,954 75,977 227,932 113,966 56,983 170,950 85,475 256,426 128,213 384,640 192,320 96,160 48,080 24,040 12,020 6,010 3,005 9,016 4,508 2,254 1,127 3,382 1,691 5,074 2,537 7,612 3,806

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