8,193,402

2 × 3² × 7 × 65027

8,193,402 factors as 2 × 3^2 × 7 × 65027. Its 24 positive divisors give a proper-divisor sum of 12,095,334, so this integer is abundant. The Collatz stopping time is 106 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 65027

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 20,288,736

Proper Divisor Sum 12,095,334

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #8193397 ← → #8193403

Radix Representation

Decimal	8193402
Binary	11111010000010101111010 (23 bits)
Octal	0o37202572
Hexadecimal	0x7D057A

Divisor Catalog (24)

1 2 3 6 7 9 14 18 21 42 63 126 65,027 130,054 195,081 390,162 455,189 585,243 910,378 1,170,486 1,365,567 2,731,134 4,096,701 8,193,402

Collatz Trajectory (106 steps to reach 1)

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

8,193,402 4,096,701 12,290,104 6,145,052 3,072,526 1,536,263 4,608,790 2,304,395 6,913,186 3,456,593 10,369,780 5,184,890 2,592,445 7,777,336 3,888,668 1,944,334 972,167 2,916,502 1,458,251 4,374,754 2,187,377 6,562,132 3,281,066 1,640,533 4,921,600 2,460,800 1,230,400 615,200 307,600 153,800 76,900 38,450 19,225 57,676 28,838 14,419 43,258 21,629 64,888 32,444 16,222 8,111 24,334 12,167 36,502 18,251 54,754 27,377 82,132 41,066 20,533 61,600 30,800 15,400 7,700 3,850 1,925 5,776 2,888 1,444

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