6,876,048

2⁴ × 3 × 31 × 4621

6,876,048 has the prime decomposition 2^4 × 3 × 31 × 4621. Its 4 distinct prime factors produce 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 31 × 4621

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 18,340,096

Proper Divisor Sum 11,464,048

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #6876031 ← → #6876049

Radix Representation

Decimal	6876048
Binary	11010001110101110010000 (23 bits)
Octal	0o32165620
Hexadecimal	0x68EB90

Divisor Catalog (40)

1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 1,488 4,621 9,242 13,863 18,484 27,726 36,968 55,452 73,936 110,904 143,251 221,808 286,502 429,753 573,004 859,506 1,146,008 1,719,012 2,292,016 3,438,024 6,876,048

Collatz Trajectory (222 steps to reach 1)

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

6,876,048 3,438,024 1,719,012 859,506 429,753 1,289,260 644,630 322,315 966,946 483,473 1,450,420 725,210 362,605 1,087,816 543,908 271,954 135,977 407,932 203,966 101,983 305,950 152,975 458,926 229,463 688,390 344,195 1,032,586 516,293 1,548,880 774,440 387,220 193,610 96,805 290,416 145,208 72,604 36,302 18,151 54,454 27,227 81,682 40,841 122,524 61,262 30,631 91,894 45,947 137,842 68,921 206,764 103,382 51,691 155,074 77,537 232,612 116,306 58,153 174,460 87,230 43,615

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