λ
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Atlas › Integer Profiles › Node 21,702,318

21,702,318

2 × 3 × 112 × 167 × 179
Abundant Even Composite

21,702,318 factors as 2 × 3 × 11^2 × 167 × 179. Its 48 positive divisors give a proper-divisor sum of 26,560,722, so this integer is abundant. The Collatz stopping time is 234 steps.

Prime Factor Structure

Factorization String 2 × 3 × 11^2 × 167 × 179
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 48,263,040
Proper Divisor Sum 26,560,722
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #21702311 ← → #21702323

Radix Representation

Decimal 21702318
Binary 1010010110010011010101110 (25 bits)
Octal 0o122623256
Hexadecimal 0x14B26AE

Divisor Catalog (48)

1 2 3 6 11 22 33 66 121 167 179 242 334 358 363 501 537 726 1,002 1,074 1,837 1,969 3,674 3,938 5,511 5,907 11,022 11,814 20,207 21,659 29,893 40,414 43,318 59,786 60,621 64,977 89,679 121,242 129,954 179,358 328,823 657,646 986,469 1,972,938 3,617,053 7,234,106 10,851,159 21,702,318

Collatz Trajectory (234 steps to reach 1)

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

21,702,318 10,851,159 32,553,478 16,276,739 48,830,218 24,415,109 73,245,328 36,622,664 18,311,332 9,155,666 4,577,833 13,733,500 6,866,750 3,433,375 10,300,126 5,150,063 15,450,190 7,725,095 23,175,286 11,587,643 34,762,930 17,381,465 52,144,396 26,072,198 13,036,099 39,108,298 19,554,149 58,662,448 29,331,224 14,665,612 7,332,806 3,666,403 10,999,210 5,499,605 16,498,816 8,249,408 4,124,704 2,062,352 1,031,176 515,588 257,794 128,897 386,692 193,346 96,673 290,020 145,010 72,505 217,516 108,758 54,379 163,138 81,569 244,708 122,354 61,177 183,532 91,766 45,883 137,650

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