3,867,948

2² × 3² × 7 × 15349

3,867,948 has the prime decomposition 2^2 × 3^2 × 7 × 15349. Its 4 distinct prime factors produce 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 7 × 15349

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 11,174,800

Proper Divisor Sum 7,306,852

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #3867947 ← → #3867961

Radix Representation

Decimal	3867948
Binary	1110110000010100101100 (22 bits)
Octal	0o16602454
Hexadecimal	0x3B052C

Divisor Catalog (36)

1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 15,349 30,698 46,047 61,396 92,094 107,443 138,141 184,188 214,886 276,282 322,329 429,772 552,564 644,658 966,987 1,289,316 1,933,974 3,867,948

Collatz Trajectory (97 steps to reach 1)

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

3,867,948 1,933,974 966,987 2,900,962 1,450,481 4,351,444 2,175,722 1,087,861 3,263,584 1,631,792 815,896 407,948 203,974 101,987 305,962 152,981 458,944 229,472 114,736 57,368 28,684 14,342 7,171 21,514 10,757 32,272 16,136 8,068 4,034 2,017 6,052 3,026 1,513 4,540 2,270 1,135 3,406 1,703 5,110 2,555 7,666 3,833 11,500 5,750 2,875 8,626 4,313 12,940 6,470 3,235 9,706 4,853 14,560 7,280 3,640 1,820 910 455 1,366 683

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