6,393,584

2⁴ × 43 × 9293

Starting at 6,393,584, the Collatz iteration reaches 1 after 147 steps. The first transition is 3196792; the starting value is even with 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 43 × 9293

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 12,677,016

Proper Divisor Sum 6,283,432

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #6393577 ← → #6393587

Radix Representation

Decimal	6393584
Binary	11000011000111011110000 (23 bits)
Octal	0o30307360
Hexadecimal	0x618EF0

Divisor Catalog (20)

1 2 4 8 16 43 86 172 344 688 9,293 18,586 37,172 74,344 148,688 399,599 799,198 1,598,396 3,196,792 6,393,584

Collatz Trajectory (147 steps to reach 1)

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

6,393,584 3,196,792 1,598,396 799,198 399,599 1,198,798 599,399 1,798,198 899,099 2,697,298 1,348,649 4,045,948 2,022,974 1,011,487 3,034,462 1,517,231 4,551,694 2,275,847 6,827,542 3,413,771 10,241,314 5,120,657 15,361,972 7,680,986 3,840,493 11,521,480 5,760,740 2,880,370 1,440,185 4,320,556 2,160,278 1,080,139 3,240,418 1,620,209 4,860,628 2,430,314 1,215,157 3,645,472 1,822,736 911,368 455,684 227,842 113,921 341,764 170,882 85,441 256,324 128,162 64,081 192,244 96,122 48,061 144,184 72,092 36,046 18,023 54,070 27,035 81,106 40,553

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