6,690,141

3³ × 31 × 7993

6,690,141 factors as 3^3 × 31 × 7993. Its 16 positive divisors give a proper-divisor sum of 3,542,179, so this integer is deficient. The Collatz stopping time is 160 steps.

Prime Factor Structure

Factorization String 3^3 × 31 × 7993

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 10,232,320

Proper Divisor Sum 3,542,179

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #6690119 ← → #6690143

Radix Representation

Decimal	6690141
Binary	11001100001010101011101 (23 bits)
Octal	0o31412535
Hexadecimal	0x66155D

Divisor Catalog (16)

1 3 9 27 31 93 279 837 7,993 23,979 71,937 215,811 247,783 743,349 2,230,047 6,690,141

Collatz Trajectory (160 steps to reach 1)

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

6,690,141 20,070,424 10,035,212 5,017,606 2,508,803 7,526,410 3,763,205 11,289,616 5,644,808 2,822,404 1,411,202 705,601 2,116,804 1,058,402 529,201 1,587,604 793,802 396,901 1,190,704 595,352 297,676 148,838 74,419 223,258 111,629 334,888 167,444 83,722 41,861 125,584 62,792 31,396 15,698 7,849 23,548 11,774 5,887 17,662 8,831 26,494 13,247 39,742 19,871 59,614 29,807 89,422 44,711 134,134 67,067 201,202 100,601 301,804 150,902 75,451 226,354 113,177 339,532 169,766 84,883 254,650

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