6,279,624

2³ × 3² × 13 × 6709

6,279,624 has the prime decomposition 2^3 × 3^2 × 13 × 6709. Its 4 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 13 × 6709

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 18,318,300

Proper Divisor Sum 12,038,676

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #6279619 ← → #6279629

Radix Representation

Decimal	6279624
Binary	10111111101000111001000 (23 bits)
Octal	0o27750710
Hexadecimal	0x5FD1C8

Divisor Catalog (48)

1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 6,709 13,418 20,127 26,836 40,254 53,672 60,381 80,508 87,217 120,762 161,016 174,434 241,524 261,651 348,868 483,048 523,302 697,736 784,953 1,046,604 1,569,906 2,093,208 3,139,812 6,279,624

Collatz Trajectory (152 steps to reach 1)

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

6,279,624 3,139,812 1,569,906 784,953 2,354,860 1,177,430 588,715 1,766,146 883,073 2,649,220 1,324,610 662,305 1,986,916 993,458 496,729 1,490,188 745,094 372,547 1,117,642 558,821 1,676,464 838,232 419,116 209,558 104,779 314,338 157,169 471,508 235,754 117,877 353,632 176,816 88,408 44,204 22,102 11,051 33,154 16,577 49,732 24,866 12,433 37,300 18,650 9,325 27,976 13,988 6,994 3,497 10,492 5,246 2,623 7,870 3,935 11,806 5,903 17,710 8,855 26,566 13,283 39,850

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