8,418,640

2⁴ × 5 × 47 × 2239

Starting at 8,418,640, the Collatz iteration reaches 1 after 49 steps. The first transition is 4209320; the starting value is even with 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 5 × 47 × 2239

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 19,998,720

Proper Divisor Sum 11,580,080

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #8418623 ← → #8418643

Radix Representation

Decimal	8418640
Binary	100000000111010101010000 (24 bits)
Octal	0o40072520
Hexadecimal	0x807550

Divisor Catalog (40)

1 2 4 5 8 10 16 20 40 47 80 94 188 235 376 470 752 940 1,880 2,239 3,760 4,478 8,956 11,195 17,912 22,390 35,824 44,780 89,560 105,233 179,120 210,466 420,932 526,165 841,864 1,052,330 1,683,728 2,104,660 4,209,320 8,418,640

Collatz Trajectory (49 steps to reach 1)

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

8,418,640 4,209,320 2,104,660 1,052,330 526,165 1,578,496 789,248 394,624 197,312 98,656 49,328 24,664 12,332 6,166 3,083 9,250 4,625 13,876 6,938 3,469 10,408 5,204 2,602 1,301 3,904 1,952 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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