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Atlas › Integer Profiles › Node 36,980,592

36,980,592

24 × 3 × 11 × 70039
Abundant Even Composite

36,980,592 factors as 2^4 × 3 × 11 × 70039. Its 40 positive divisors give a proper-divisor sum of 67,238,928, so this integer is abundant. The Collatz stopping time is 196 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 11 × 70039
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 104,219,520
Proper Divisor Sum 67,238,928
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #36980561 ← → #36980609

Radix Representation

Decimal 36980592
Binary 10001101000100011101110000 (26 bits)
Octal 0o215043560
Hexadecimal 0x2344770

Divisor Catalog (40)

1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 70,039 140,078 210,117 280,156 420,234 560,312 770,429 840,468 1,120,624 1,540,858 1,680,936 2,311,287 3,081,716 3,361,872 4,622,574 6,163,432 9,245,148 12,326,864 18,490,296 36,980,592

Collatz Trajectory (196 steps to reach 1)

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

36,980,592 18,490,296 9,245,148 4,622,574 2,311,287 6,933,862 3,466,931 10,400,794 5,200,397 15,601,192 7,800,596 3,900,298 1,950,149 5,850,448 2,925,224 1,462,612 731,306 365,653 1,096,960 548,480 274,240 137,120 68,560 34,280 17,140 8,570 4,285 12,856 6,428 3,214 1,607 4,822 2,411 7,234 3,617 10,852 5,426 2,713 8,140 4,070 2,035 6,106 3,053 9,160 4,580 2,290 1,145 3,436 1,718 859 2,578 1,289 3,868 1,934 967 2,902 1,451 4,354 2,177 6,532

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