8,537,414

2 × 89 × 47963

Starting at 8,537,414, the Collatz iteration reaches 1 after 106 steps. The first transition is 4268707; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 89 × 47963

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 12,950,280

Proper Divisor Sum 4,412,866

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #8537413 ← → #8537437

Radix Representation

Decimal	8537414
Binary	100000100100010101000110 (24 bits)
Octal	0o40442506
Hexadecimal	0x824546

Divisor Catalog (8)

1 2 89 178 47,963 95,926 4,268,707 8,537,414

Collatz Trajectory (106 steps to reach 1)

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

8,537,414 4,268,707 12,806,122 6,403,061 19,209,184 9,604,592 4,802,296 2,401,148 1,200,574 600,287 1,800,862 900,431 2,701,294 1,350,647 4,051,942 2,025,971 6,077,914 3,038,957 9,116,872 4,558,436 2,279,218 1,139,609 3,418,828 1,709,414 854,707 2,564,122 1,282,061 3,846,184 1,923,092 961,546 480,773 1,442,320 721,160 360,580 180,290 90,145 270,436 135,218 67,609 202,828 101,414 50,707 152,122 76,061 228,184 114,092 57,046 28,523 85,570 42,785 128,356 64,178 32,089 96,268 48,134 24,067 72,202 36,101 108,304 54,152

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