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Atlas › Integer Profiles › Node 5,223,330

5,223,330

2 × 32 × 5 × 7 × 8291
Abundant Even Composite

5,223,330 factors as 2 × 3^2 × 5 × 7 × 8291. Its 48 positive divisors give a proper-divisor sum of 10,299,294, so this integer is abundant. The Collatz stopping time is 188 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 7 × 8291
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 15,522,624
Proper Divisor Sum 10,299,294
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #5223299 ← → #5223343

Radix Representation

Decimal 5223330
Binary 10011111011001110100010 (23 bits)
Octal 0o23731642
Hexadecimal 0x4FB3A2

Divisor Catalog (48)

1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 8,291 16,582 24,873 41,455 49,746 58,037 74,619 82,910 116,074 124,365 149,238 174,111 248,730 290,185 348,222 373,095 522,333 580,370 746,190 870,555 1,044,666 1,741,110 2,611,665 5,223,330

Collatz Trajectory (188 steps to reach 1)

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

5,223,330 2,611,665 7,834,996 3,917,498 1,958,749 5,876,248 2,938,124 1,469,062 734,531 2,203,594 1,101,797 3,305,392 1,652,696 826,348 413,174 206,587 619,762 309,881 929,644 464,822 232,411 697,234 348,617 1,045,852 522,926 261,463 784,390 392,195 1,176,586 588,293 1,764,880 882,440 441,220 220,610 110,305 330,916 165,458 82,729 248,188 124,094 62,047 186,142 93,071 279,214 139,607 418,822 209,411 628,234 314,117 942,352 471,176 235,588 117,794 58,897 176,692 88,346 44,173 132,520 66,260 33,130

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