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Atlas › Integer Profiles › Node 2,564,382

2,564,382

2 × 3 × 17 × 31 × 811
Abundant Even Composite

2,564,382 factors as 2 × 3 × 17 × 31 × 811. Its 32 positive divisors give a proper-divisor sum of 3,048,162, so this integer is abundant. The Collatz stopping time is 218 steps.

Prime Factor Structure

Factorization String 2 × 3 × 17 × 31 × 811
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,612,544
Proper Divisor Sum 3,048,162
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2564381 ← → #2564407

Radix Representation

Decimal 2564382
Binary 1001110010000100011110 (22 bits)
Octal 0o11620436
Hexadecimal 0x27211E

Divisor Catalog (32)

1 2 3 6 17 31 34 51 62 93 102 186 527 811 1,054 1,581 1,622 2,433 3,162 4,866 13,787 25,141 27,574 41,361 50,282 75,423 82,722 150,846 427,397 854,794 1,282,191 2,564,382

Collatz Trajectory (218 steps to reach 1)

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

2,564,382 1,282,191 3,846,574 1,923,287 5,769,862 2,884,931 8,654,794 4,327,397 12,982,192 6,491,096 3,245,548 1,622,774 811,387 2,434,162 1,217,081 3,651,244 1,825,622 912,811 2,738,434 1,369,217 4,107,652 2,053,826 1,026,913 3,080,740 1,540,370 770,185 2,310,556 1,155,278 577,639 1,732,918 866,459 2,599,378 1,299,689 3,899,068 1,949,534 974,767 2,924,302 1,462,151 4,386,454 2,193,227 6,579,682 3,289,841 9,869,524 4,934,762 2,467,381 7,402,144 3,701,072 1,850,536 925,268 462,634 231,317 693,952 346,976 173,488 86,744 43,372 21,686 10,843 32,530 16,265

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