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Atlas › Integer Profiles › Node 7,842,856

7,842,856

23 × 7 × 43 × 3257
Abundant Even Composite

7,842,856 factors as 2^3 × 7 × 43 × 3257. Its 32 positive divisors give a proper-divisor sum of 9,359,384, so this integer is abundant. The Collatz stopping time is 93 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 43 × 3257
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 17,202,240
Proper Divisor Sum 9,359,384
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #7842851 ← → #7842859

Radix Representation

Decimal 7842856
Binary 11101111010110000101000 (23 bits)
Octal 0o35726050
Hexadecimal 0x77AC28

Divisor Catalog (32)

1 2 4 7 8 14 28 43 56 86 172 301 344 602 1,204 2,408 3,257 6,514 13,028 22,799 26,056 45,598 91,196 140,051 182,392 280,102 560,204 980,357 1,120,408 1,960,714 3,921,428 7,842,856

Collatz Trajectory (93 steps to reach 1)

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

7,842,856 3,921,428 1,960,714 980,357 2,941,072 1,470,536 735,268 367,634 183,817 551,452 275,726 137,863 413,590 206,795 620,386 310,193 930,580 465,290 232,645 697,936 348,968 174,484 87,242 43,621 130,864 65,432 32,716 16,358 8,179 24,538 12,269 36,808 18,404 9,202 4,601 13,804 6,902 3,451 10,354 5,177 15,532 7,766 3,883 11,650 5,825 17,476 8,738 4,369 13,108 6,554 3,277 9,832 4,916 2,458 1,229 3,688 1,844 922 461 1,384

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