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Atlas › Integer Profiles › Node 6,944,568

6,944,568

23 × 3 × 17 × 17021
Abundant Even Composite

6,944,568 factors as 2^3 × 3 × 17 × 17021. Its 32 positive divisors give a proper-divisor sum of 11,439,192, so this integer is abundant. The Collatz stopping time is 103 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 17 × 17021
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 18,383,760
Proper Divisor Sum 11,439,192
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #6944549 ← → #6944573

Radix Representation

Decimal 6944568
Binary 11010011111011100111000 (23 bits)
Octal 0o32373470
Hexadecimal 0x69F738

Divisor Catalog (32)

1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 17,021 34,042 51,063 68,084 102,126 136,168 204,252 289,357 408,504 578,714 868,071 1,157,428 1,736,142 2,314,856 3,472,284 6,944,568

Collatz Trajectory (103 steps to reach 1)

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

6,944,568 3,472,284 1,736,142 868,071 2,604,214 1,302,107 3,906,322 1,953,161 5,859,484 2,929,742 1,464,871 4,394,614 2,197,307 6,591,922 3,295,961 9,887,884 4,943,942 2,471,971 7,415,914 3,707,957 11,123,872 5,561,936 2,780,968 1,390,484 695,242 347,621 1,042,864 521,432 260,716 130,358 65,179 195,538 97,769 293,308 146,654 73,327 219,982 109,991 329,974 164,987 494,962 247,481 742,444 371,222 185,611 556,834 278,417 835,252 417,626 208,813 626,440 313,220 156,610 78,305 234,916 117,458 58,729 176,188 88,094 44,047

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