8,090,784

2⁵ × 3² × 13 × 2161

8,090,784 factors as 2^5 × 3^2 × 13 × 2161. Its 72 positive divisors give a proper-divisor sum of 16,698,708, so this integer is abundant. The Collatz stopping time is 85 steps.

Prime Factor Structure

Factorization String 2^5 × 3^2 × 13 × 2161

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 24,789,492

Proper Divisor Sum 16,698,708

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #8090777 ← → #8090801

Radix Representation

Decimal	8090784
Binary	11110110111010010100000 (23 bits)
Octal	0o36672240
Hexadecimal	0x7B74A0

Divisor Catalog (60 of 72)

1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1,248 1,872 2,161 3,744 4,322 6,483 8,644 12,966 17,288 19,449 25,932 28,093 34,576 38,898 51,864 56,186 69,152 77,796 84,279 103,728 112,372 155,592 168,558 207,456 224,744 252,837 311,184

Collatz Trajectory (85 steps to reach 1)

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

8,090,784 4,045,392 2,022,696 1,011,348 505,674 252,837 758,512 379,256 189,628 94,814 47,407 142,222 71,111 213,334 106,667 320,002 160,001 480,004 240,002 120,001 360,004 180,002 90,001 270,004 135,002 67,501 202,504 101,252 50,626 25,313 75,940 37,970 18,985 56,956 28,478 14,239 42,718 21,359 64,078 32,039 96,118 48,059 144,178 72,089 216,268 108,134 54,067 162,202 81,101 243,304 121,652 60,826 30,413 91,240 45,620 22,810 11,405 34,216 17,108 8,554

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