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6,293,448

23 × 32 × 7 × 12487
Abundant Even Composite

6,293,448 factors as 2^3 × 3^2 × 7 × 12487. Its 48 positive divisors give a proper-divisor sum of 13,187,832, so this integer is abundant. The Collatz stopping time is 227 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 7 × 12487
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 19,481,280
Proper Divisor Sum 13,187,832
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #6293447 ← → #6293449

Radix Representation

Decimal 6293448
Binary 11000000000011111001000 (23 bits)
Octal 0o30003710
Hexadecimal 0x6007C8

Divisor Catalog (48)

1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 12,487 24,974 37,461 49,948 74,922 87,409 99,896 112,383 149,844 174,818 224,766 262,227 299,688 349,636 449,532 524,454 699,272 786,681 899,064 1,048,908 1,573,362 2,097,816 3,146,724 6,293,448

Collatz Trajectory (227 steps to reach 1)

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

6,293,448 3,146,724 1,573,362 786,681 2,360,044 1,180,022 590,011 1,770,034 885,017 2,655,052 1,327,526 663,763 1,991,290 995,645 2,986,936 1,493,468 746,734 373,367 1,120,102 560,051 1,680,154 840,077 2,520,232 1,260,116 630,058 315,029 945,088 472,544 236,272 118,136 59,068 29,534 14,767 44,302 22,151 66,454 33,227 99,682 49,841 149,524 74,762 37,381 112,144 56,072 28,036 14,018 7,009 21,028 10,514 5,257 15,772 7,886 3,943 11,830 5,915 17,746 8,873 26,620 13,310 6,655

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