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Atlas › Integer Profiles › Node 5,961,920

5,961,920

26 × 5 × 31 × 601
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 5 × 31 × 601
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 14,679,168
Proper Divisor Sum 8,717,248
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #5961919 ← → #5961931

Radix Representation

Decimal 5961920
Binary 10110101111100011000000 (23 bits)
Octal 0o26574300
Hexadecimal 0x5AF8C0

Divisor Catalog (56)

1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 155 160 248 310 320 496 601 620 992 1,202 1,240 1,984 2,404 2,480 3,005 4,808 4,960 6,010 9,616 9,920 12,020 18,631 19,232 24,040 37,262 38,464 48,080 74,524 93,155 96,160 149,048 186,310 192,320 298,096 372,620 596,192 745,240 1,192,384 1,490,480 2,980,960 5,961,920

Collatz Trajectory (152 steps to reach 1)

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

5,961,920 2,980,960 1,490,480 745,240 372,620 186,310 93,155 279,466 139,733 419,200 209,600 104,800 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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