8,330,032

2⁴ × 37 × 14071

Starting at 8,330,032, the Collatz iteration reaches 1 after 106 steps. The first transition is 4165016; the starting value is even with 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 37 × 14071

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 16,576,816

Proper Divisor Sum 8,246,784

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #8330027 ← → #8330039

Radix Representation

Decimal	8330032
Binary	11111110001101100110000 (23 bits)
Octal	0o37615460
Hexadecimal	0x7F1B30

Divisor Catalog (20)

1 2 4 8 16 37 74 148 296 592 14,071 28,142 56,284 112,568 225,136 520,627 1,041,254 2,082,508 4,165,016 8,330,032

Collatz Trajectory (106 steps to reach 1)

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

8,330,032 4,165,016 2,082,508 1,041,254 520,627 1,561,882 780,941 2,342,824 1,171,412 585,706 292,853 878,560 439,280 219,640 109,820 54,910 27,455 82,366 41,183 123,550 61,775 185,326 92,663 277,990 138,995 416,986 208,493 625,480 312,740 156,370 78,185 234,556 117,278 58,639 175,918 87,959 263,878 131,939 395,818 197,909 593,728 296,864 148,432 74,216 37,108 18,554 9,277 27,832 13,916 6,958 3,479 10,438 5,219 15,658 7,829 23,488 11,744 5,872 2,936 1,468

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