6,088,320

2⁷ × 3² × 5 × 7 × 151

Starting at 6,088,320, the Collatz iteration reaches 1 after 59 steps. The first transition is 3044160; the starting value is even with 192 positive divisors.

Prime Factor Structure

Factorization String 2^7 × 3^2 × 5 × 7 × 151

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 192

Divisor Sum (σ) 24,186,240

Proper Divisor Sum 18,097,920

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #6088301 ← → #6088337

Radix Representation

Decimal	6088320
Binary	10111001110011010000000 (23 bits)
Octal	0o27163200
Hexadecimal	0x5CE680

Divisor Catalog (60 of 192)

1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 64 70 72 80 84 90 96 105 112 120 126 128 140 144 151 160 168 180 192 210 224 240 252 280 288 302 315 320 336 360

Collatz Trajectory (59 steps to reach 1)

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

6,088,320 3,044,160 1,522,080 761,040 380,520 190,260 95,130 47,565 142,696 71,348 35,674 17,837 53,512 26,756 13,378 6,689 20,068 10,034 5,017 15,052 7,526 3,763 11,290 5,645 16,936 8,468 4,234 2,117 6,352 3,176 1,588 794 397 1,192 596 298 149 448 224 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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