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Atlas › Integer Profiles › Node 6,989,192

6,989,192

23 × 7 × 137 × 911
Abundant Even Composite

6,989,192 factors as 2^3 × 7 × 137 × 911. Its 32 positive divisors give a proper-divisor sum of 8,113,528, so this integer is abundant. The Collatz stopping time is 129 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 137 × 911
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 15,102,720
Proper Divisor Sum 8,113,528
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #6989183 ← → #6989219

Radix Representation

Decimal 6989192
Binary 11010101010010110001000 (23 bits)
Octal 0o32522610
Hexadecimal 0x6AA588

Divisor Catalog (32)

1 2 4 7 8 14 28 56 137 274 548 911 959 1,096 1,822 1,918 3,644 3,836 6,377 7,288 7,672 12,754 25,508 51,016 124,807 249,614 499,228 873,649 998,456 1,747,298 3,494,596 6,989,192

Collatz Trajectory (129 steps to reach 1)

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

6,989,192 3,494,596 1,747,298 873,649 2,620,948 1,310,474 655,237 1,965,712 982,856 491,428 245,714 122,857 368,572 184,286 92,143 276,430 138,215 414,646 207,323 621,970 310,985 932,956 466,478 233,239 699,718 349,859 1,049,578 524,789 1,574,368 787,184 393,592 196,796 98,398 49,199 147,598 73,799 221,398 110,699 332,098 166,049 498,148 249,074 124,537 373,612 186,806 93,403 280,210 140,105 420,316 210,158 105,079 315,238 157,619 472,858 236,429 709,288 354,644 177,322 88,661 265,984

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