8,327,464

2³ × 571 × 1823

Starting at 8,327,464, the Collatz iteration reaches 1 after 106 steps. The first transition is 4163732; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 571 × 1823

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 15,649,920

Proper Divisor Sum 7,322,456

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #8327443 ← → #8327471

Radix Representation

Decimal	8327464
Binary	11111110001000100101000 (23 bits)
Octal	0o37610450
Hexadecimal	0x7F1128

Divisor Catalog (16)

1 2 4 8 571 1,142 1,823 2,284 3,646 4,568 7,292 14,584 1,040,933 2,081,866 4,163,732 8,327,464

Collatz Trajectory (106 steps to reach 1)

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

8,327,464 4,163,732 2,081,866 1,040,933 3,122,800 1,561,400 780,700 390,350 195,175 585,526 292,763 878,290 439,145 1,317,436 658,718 329,359 988,078 494,039 1,482,118 741,059 2,223,178 1,111,589 3,334,768 1,667,384 833,692 416,846 208,423 625,270 312,635 937,906 468,953 1,406,860 703,430 351,715 1,055,146 527,573 1,582,720 791,360 395,680 197,840 98,920 49,460 24,730 12,365 37,096 18,548 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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