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5,226,560

26 × 5 × 16333
Abundant Even Composite

5,226,560 factors as 2^6 × 5 × 16333. Its 28 positive divisors give a proper-divisor sum of 7,219,948, so this integer is abundant. The Collatz stopping time is 95 steps.

Prime Factor Structure

Factorization String 2^6 × 5 × 16333
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 12,446,508
Proper Divisor Sum 7,219,948
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #5226553 ← → #5226587

Radix Representation

Decimal 5226560
Binary 10011111100000001000000 (23 bits)
Octal 0o23740100
Hexadecimal 0x4FC040

Divisor Catalog (28)

1 2 4 5 8 10 16 20 32 40 64 80 160 320 16,333 32,666 65,332 81,665 130,664 163,330 261,328 326,660 522,656 653,320 1,045,312 1,306,640 2,613,280 5,226,560

Collatz Trajectory (95 steps to reach 1)

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

5,226,560 2,613,280 1,306,640 653,320 326,660 163,330 81,665 244,996 122,498 61,249 183,748 91,874 45,937 137,812 68,906 34,453 103,360 51,680 25,840 12,920 6,460 3,230 1,615 4,846 2,423 7,270 3,635 10,906 5,453 16,360 8,180 4,090 2,045 6,136 3,068 1,534 767 2,302 1,151 3,454 1,727 5,182 2,591 7,774 3,887 11,662 5,831 17,494 8,747 26,242 13,121 39,364 19,682 9,841 29,524 14,762 7,381 22,144 11,072 5,536

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