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Atlas › Integer Profiles › Node 5,223,392

5,223,392

25 × 23 × 47 × 151
Abundant Even Composite

5,223,392 factors as 2^5 × 23 × 47 × 151. Its 48 positive divisors give a proper-divisor sum of 5,808,160, so this integer is abundant. The Collatz stopping time is 188 steps.

Prime Factor Structure

Factorization String 2^5 × 23 × 47 × 151
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 11,031,552
Proper Divisor Sum 5,808,160
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #5223377 ← → #5223397

Radix Representation

Decimal 5223392
Binary 10011111011001111100000 (23 bits)
Octal 0o23731740
Hexadecimal 0x4FB3E0

Divisor Catalog (48)

1 2 4 8 16 23 32 46 47 92 94 151 184 188 302 368 376 604 736 752 1,081 1,208 1,504 2,162 2,416 3,473 4,324 4,832 6,946 7,097 8,648 13,892 14,194 17,296 27,784 28,388 34,592 55,568 56,776 111,136 113,552 163,231 227,104 326,462 652,924 1,305,848 2,611,696 5,223,392

Collatz Trajectory (188 steps to reach 1)

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

5,223,392 2,611,696 1,305,848 652,924 326,462 163,231 489,694 244,847 734,542 367,271 1,101,814 550,907 1,652,722 826,361 2,479,084 1,239,542 619,771 1,859,314 929,657 2,788,972 1,394,486 697,243 2,091,730 1,045,865 3,137,596 1,568,798 784,399 2,353,198 1,176,599 3,529,798 1,764,899 5,294,698 2,647,349 7,942,048 3,971,024 1,985,512 992,756 496,378 248,189 744,568 372,284 186,142 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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