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Atlas › Integer Profiles › Node 5,961,856

5,961,856

27 × 47 × 991
Abundant Even Composite

5,961,856 factors as 2^7 × 47 × 991. Its 32 positive divisors give a proper-divisor sum of 6,180,224, so this integer is abundant. The Collatz stopping time is 152 steps.

Prime Factor Structure

Factorization String 2^7 × 47 × 991
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 12,142,080
Proper Divisor Sum 6,180,224
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #5961833 ← → #5961859

Radix Representation

Decimal 5961856
Binary 10110101111100010000000 (23 bits)
Octal 0o26574200
Hexadecimal 0x5AF880

Divisor Catalog (32)

1 2 4 8 16 32 47 64 94 128 188 376 752 991 1,504 1,982 3,008 3,964 6,016 7,928 15,856 31,712 46,577 63,424 93,154 126,848 186,308 372,616 745,232 1,490,464 2,980,928 5,961,856

Collatz Trajectory (152 steps to reach 1)

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

5,961,856 2,980,928 1,490,464 745,232 372,616 186,308 93,154 46,577 139,732 69,866 34,933 104,800 52,400 26,200 13,100 6,550 3,275 9,826 4,913 14,740 7,370 3,685 11,056 5,528 2,764 1,382 691 2,074 1,037 3,112 1,556 778 389 1,168 584 292 146 73 220 110 55 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182

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