6,438,672

2⁴ × 3² × 61 × 733

6,438,672 is even and not a perfect square. Its factorization is 2^4 × 3^2 × 61 × 733 and its 60 divisors sum to 18,339,724.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 61 × 733

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 18,339,724

Proper Divisor Sum 11,901,052

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #6438661 ← → #6438697

Radix Representation

Decimal	6438672
Binary	11000100011111100010000 (23 bits)
Octal	0o30437420
Hexadecimal	0x623F10

Divisor Catalog (60)

1 2 3 4 6 8 9 12 16 18 24 36 48 61 72 122 144 183 244 366 488 549 732 733 976 1,098 1,464 1,466 2,196 2,199 2,928 2,932 4,392 4,398 5,864 6,597 8,784 8,796 11,728 13,194 17,592 26,388 35,184 44,713 52,776 89,426 105,552 134,139 178,852 268,278 357,704 402,417 536,556 715,408 804,834 1,073,112 1,609,668 2,146,224 3,219,336 6,438,672

Collatz Trajectory (165 steps to reach 1)

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

6,438,672 3,219,336 1,609,668 804,834 402,417 1,207,252 603,626 301,813 905,440 452,720 226,360 113,180 56,590 28,295 84,886 42,443 127,330 63,665 190,996 95,498 47,749 143,248 71,624 35,812 17,906 8,953 26,860 13,430 6,715 20,146 10,073 30,220 15,110 7,555 22,666 11,333 34,000 17,000 8,500 4,250 2,125 6,376 3,188 1,594 797 2,392 1,196 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190

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