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6,979,980

22 × 3 × 5 × 7 × 16619
Abundant Even Composite

6,979,980 factors as 2^2 × 3 × 5 × 7 × 16619. Its 48 positive divisors give a proper-divisor sum of 15,357,300, so this integer is abundant. The Collatz stopping time is 191 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 7 × 16619
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 22,337,280
Proper Divisor Sum 15,357,300
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #6979967 ← → #6980021

Radix Representation

Decimal 6979980
Binary 11010101000000110001100 (23 bits)
Octal 0o32500614
Hexadecimal 0x6A818C

Divisor Catalog (48)

1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 16,619 33,238 49,857 66,476 83,095 99,714 116,333 166,190 199,428 232,666 249,285 332,380 348,999 465,332 498,570 581,665 697,998 997,140 1,163,330 1,395,996 1,744,995 2,326,660 3,489,990 6,979,980

Collatz Trajectory (191 steps to reach 1)

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

6,979,980 3,489,990 1,744,995 5,234,986 2,617,493 7,852,480 3,926,240 1,963,120 981,560 490,780 245,390 122,695 368,086 184,043 552,130 276,065 828,196 414,098 207,049 621,148 310,574 155,287 465,862 232,931 698,794 349,397 1,048,192 524,096 262,048 131,024 65,512 32,756 16,378 8,189 24,568 12,284 6,142 3,071 9,214 4,607 13,822 6,911 20,734 10,367 31,102 15,551 46,654 23,327 69,982 34,991 104,974 52,487 157,462 78,731 236,194 118,097 354,292 177,146 88,573 265,720

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