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Atlas › Integer Profiles › Node 21,396,588

21,396,588

22 × 3 × 41 × 157 × 277
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 41 × 157 × 277
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 51,654,624
Proper Divisor Sum 30,258,036
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #21396587 ← → #21396589

Radix Representation

Decimal 21396588
Binary 1010001100111110001101100 (25 bits)
Octal 0o121476154
Hexadecimal 0x1467C6C

Divisor Catalog (48)

1 2 3 4 6 12 41 82 123 157 164 246 277 314 471 492 554 628 831 942 1,108 1,662 1,884 3,324 6,437 11,357 12,874 19,311 22,714 25,748 34,071 38,622 43,489 45,428 68,142 77,244 86,978 130,467 136,284 173,956 260,934 521,868 1,783,049 3,566,098 5,349,147 7,132,196 10,698,294 21,396,588

Collatz Trajectory (159 steps to reach 1)

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

21,396,588 10,698,294 5,349,147 16,047,442 8,023,721 24,071,164 12,035,582 6,017,791 18,053,374 9,026,687 27,080,062 13,540,031 40,620,094 20,310,047 60,930,142 30,465,071 91,395,214 45,697,607 137,092,822 68,546,411 205,639,234 102,819,617 308,458,852 154,229,426 77,114,713 231,344,140 115,672,070 57,836,035 173,508,106 86,754,053 260,262,160 130,131,080 65,065,540 32,532,770 16,266,385 48,799,156 24,399,578 12,199,789 36,599,368 18,299,684 9,149,842 4,574,921 13,724,764 6,862,382 3,431,191 10,293,574 5,146,787 15,440,362 7,720,181 23,160,544 11,580,272 5,790,136 2,895,068 1,447,534 723,767 2,171,302 1,085,651 3,256,954 1,628,477 4,885,432

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