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Atlas › Integer Profiles › Node 5,113,524

5,113,524

22 × 3 × 13 × 32779
Abundant Even Composite

5,113,524 factors as 2^2 × 3 × 13 × 32779. Its 24 positive divisors give a proper-divisor sum of 7,736,236, so this integer is abundant. The Collatz stopping time is 126 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 13 × 32779
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 12,849,760
Proper Divisor Sum 7,736,236
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #5113519 ← → #5113573

Radix Representation

Decimal 5113524
Binary 10011100000011010110100 (23 bits)
Octal 0o23403264
Hexadecimal 0x4E06B4

Divisor Catalog (24)

1 2 3 4 6 12 13 26 39 52 78 156 32,779 65,558 98,337 131,116 196,674 393,348 426,127 852,254 1,278,381 1,704,508 2,556,762 5,113,524

Collatz Trajectory (126 steps to reach 1)

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

5,113,524 2,556,762 1,278,381 3,835,144 1,917,572 958,786 479,393 1,438,180 719,090 359,545 1,078,636 539,318 269,659 808,978 404,489 1,213,468 606,734 303,367 910,102 455,051 1,365,154 682,577 2,047,732 1,023,866 511,933 1,535,800 767,900 383,950 191,975 575,926 287,963 863,890 431,945 1,295,836 647,918 323,959 971,878 485,939 1,457,818 728,909 2,186,728 1,093,364 546,682 273,341 820,024 410,012 205,006 102,503 307,510 153,755 461,266 230,633 691,900 345,950 172,975 518,926 259,463 778,390 389,195 1,167,586

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