8,092,824

2³ × 3 × 337201

8,092,824 factors as 2^3 × 3 × 337201. Its 16 positive divisors give a proper-divisor sum of 12,139,296, so this integer is abundant. The Collatz stopping time is 111 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 337201

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 20,232,120

Proper Divisor Sum 12,139,296

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #8092817 ← → #8092831

Radix Representation

Decimal	8092824
Binary	11110110111110010011000 (23 bits)
Octal	0o36676230
Hexadecimal	0x7B7C98

Divisor Catalog (16)

1 2 3 4 6 8 12 24 337,201 674,402 1,011,603 1,348,804 2,023,206 2,697,608 4,046,412 8,092,824

Collatz Trajectory (111 steps to reach 1)

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

8,092,824 4,046,412 2,023,206 1,011,603 3,034,810 1,517,405 4,552,216 2,276,108 1,138,054 569,027 1,707,082 853,541 2,560,624 1,280,312 640,156 320,078 160,039 480,118 240,059 720,178 360,089 1,080,268 540,134 270,067 810,202 405,101 1,215,304 607,652 303,826 151,913 455,740 227,870 113,935 341,806 170,903 512,710 256,355 769,066 384,533 1,153,600 576,800 288,400 144,200 72,100 36,050 18,025 54,076 27,038 13,519 40,558 20,279 60,838 30,419 91,258 45,629 136,888 68,444 34,222 17,111 51,334

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