6,801,195

3 × 5 × 61 × 7433

6,801,195 factors as 3 × 5 × 61 × 7433. Its 16 positive divisors give a proper-divisor sum of 4,260,597, so this integer is deficient. The Collatz stopping time is 129 steps.

Prime Factor Structure

Factorization String 3 × 5 × 61 × 7433

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 11,061,792

Proper Divisor Sum 4,260,597

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #6801187 ← → #6801199

Radix Representation

Decimal	6801195
Binary	11001111100011100101011 (23 bits)
Octal	0o31743453
Hexadecimal	0x67C72B

Divisor Catalog (16)

1 3 5 15 61 183 305 915 7,433 22,299 37,165 111,495 453,413 1,360,239 2,267,065 6,801,195

Collatz Trajectory (129 steps to reach 1)

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

6,801,195 20,403,586 10,201,793 30,605,380 15,302,690 7,651,345 22,954,036 11,477,018 5,738,509 17,215,528 8,607,764 4,303,882 2,151,941 6,455,824 3,227,912 1,613,956 806,978 403,489 1,210,468 605,234 302,617 907,852 453,926 226,963 680,890 340,445 1,021,336 510,668 255,334 127,667 383,002 191,501 574,504 287,252 143,626 71,813 215,440 107,720 53,860 26,930 13,465 40,396 20,198 10,099 30,298 15,149 45,448 22,724 11,362 5,681 17,044 8,522 4,261 12,784 6,392 3,196 1,598 799 2,398 1,199

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