8,320,727

19 × 131 × 3343

Starting at 8,320,727, the Collatz iteration reaches 1 after 106 steps. The first transition is 24962182; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 19 × 131 × 3343

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 8,828,160

Proper Divisor Sum 507,433

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #8320717 ← → #8320729

Radix Representation

Decimal	8320727
Binary	11111101111011011010111 (23 bits)
Octal	0o37573327
Hexadecimal	0x7EF6D7

Divisor Catalog (8)

1 19 131 2,489 3,343 63,517 437,933 8,320,727

Collatz Trajectory (106 steps to reach 1)

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

8,320,727 24,962,182 12,481,091 37,443,274 18,721,637 56,164,912 28,082,456 14,041,228 7,020,614 3,510,307 10,530,922 5,265,461 15,796,384 7,898,192 3,949,096 1,974,548 987,274 493,637 1,480,912 740,456 370,228 185,114 92,557 277,672 138,836 69,418 34,709 104,128 52,064 26,032 13,016 6,508 3,254 1,627 4,882 2,441 7,324 3,662 1,831 5,494 2,747 8,242 4,121 12,364 6,182 3,091 9,274 4,637 13,912 6,956 3,478 1,739 5,218 2,609 7,828 3,914 1,957 5,872 2,936 1,468

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