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Atlas › Integer Profiles › Node 21,811,842

21,811,842

2 × 34 × 13 × 10357
Abundant Even Composite

21,811,842 factors as 2 × 3^4 × 13 × 10357. Its 40 positive divisors give a proper-divisor sum of 30,827,514, so this integer is abundant. The Collatz stopping time is 110 steps.

Prime Factor Structure

Factorization String 2 × 3^4 × 13 × 10357
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 52,639,356
Proper Divisor Sum 30,827,514
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #21811837 ← → #21811849

Radix Representation

Decimal 21811842
Binary 1010011001101001010000010 (25 bits)
Octal 0o123151202
Hexadecimal 0x14CD282

Divisor Catalog (40)

1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 351 702 1,053 2,106 10,357 20,714 31,071 62,142 93,213 134,641 186,426 269,282 279,639 403,923 559,278 807,846 838,917 1,211,769 1,677,834 2,423,538 3,635,307 7,270,614 10,905,921 21,811,842

Collatz Trajectory (110 steps to reach 1)

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

21,811,842 10,905,921 32,717,764 16,358,882 8,179,441 24,538,324 12,269,162 6,134,581 18,403,744 9,201,872 4,600,936 2,300,468 1,150,234 575,117 1,725,352 862,676 431,338 215,669 647,008 323,504 161,752 80,876 40,438 20,219 60,658 30,329 90,988 45,494 22,747 68,242 34,121 102,364 51,182 25,591 76,774 38,387 115,162 57,581 172,744 86,372 43,186 21,593 64,780 32,390 16,195 48,586 24,293 72,880 36,440 18,220 9,110 4,555 13,666 6,833 20,500 10,250 5,125 15,376 7,688 3,844

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