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Atlas › Integer Profiles › Node 5,222,970

5,222,970

2 × 32 × 5 × 131 × 443
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 131 × 443
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 13,714,272
Proper Divisor Sum 8,491,302
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #5222963 ← → #5222977

Radix Representation

Decimal 5222970
Binary 10011111011001000111010 (23 bits)
Octal 0o23731072
Hexadecimal 0x4FB23A

Divisor Catalog (48)

1 2 3 5 6 9 10 15 18 30 45 90 131 262 393 443 655 786 886 1,179 1,310 1,329 1,965 2,215 2,358 2,658 3,930 3,987 4,430 5,895 6,645 7,974 11,790 13,290 19,935 39,870 58,033 116,066 174,099 290,165 348,198 522,297 580,330 870,495 1,044,594 1,740,990 2,611,485 5,222,970

Collatz Trajectory (157 steps to reach 1)

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

5,222,970 2,611,485 7,834,456 3,917,228 1,958,614 979,307 2,937,922 1,468,961 4,406,884 2,203,442 1,101,721 3,305,164 1,652,582 826,291 2,478,874 1,239,437 3,718,312 1,859,156 929,578 464,789 1,394,368 697,184 348,592 174,296 87,148 43,574 21,787 65,362 32,681 98,044 49,022 24,511 73,534 36,767 110,302 55,151 165,454 82,727 248,182 124,091 372,274 186,137 558,412 279,206 139,603 418,810 209,405 628,216 314,108 157,054 78,527 235,582 117,791 353,374 176,687 530,062 265,031 795,094 397,547 1,192,642

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