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Atlas › Integer Profiles › Node 5,226,844

5,226,844

22 × 7 × 29 × 41 × 157
Abundant Even Composite

5,226,844 factors as 2^2 × 7 × 29 × 41 × 157. Its 48 positive divisors give a proper-divisor sum of 5,921,636, so this integer is abundant. The Collatz stopping time is 188 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 29 × 41 × 157
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 11,148,480
Proper Divisor Sum 5,921,636
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #5226841 ← → #5226847

Radix Representation

Decimal 5226844
Binary 10011111100000101011100 (23 bits)
Octal 0o23740534
Hexadecimal 0x4FC15C

Divisor Catalog (48)

1 2 4 7 14 28 29 41 58 82 116 157 164 203 287 314 406 574 628 812 1,099 1,148 1,189 2,198 2,378 4,396 4,553 4,756 6,437 8,323 9,106 12,874 16,646 18,212 25,748 31,871 33,292 45,059 63,742 90,118 127,484 180,236 186,673 373,346 746,692 1,306,711 2,613,422 5,226,844

Collatz Trajectory (188 steps to reach 1)

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

5,226,844 2,613,422 1,306,711 3,920,134 1,960,067 5,880,202 2,940,101 8,820,304 4,410,152 2,205,076 1,102,538 551,269 1,653,808 826,904 413,452 206,726 103,363 310,090 155,045 465,136 232,568 116,284 58,142 29,071 87,214 43,607 130,822 65,411 196,234 98,117 294,352 147,176 73,588 36,794 18,397 55,192 27,596 13,798 6,899 20,698 10,349 31,048 15,524 7,762 3,881 11,644 5,822 2,911 8,734 4,367 13,102 6,551 19,654 9,827 29,482 14,741 44,224 22,112 11,056 5,528

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