3,727,962

2 × 3² × 7 × 29587

3,727,962 is even and not a perfect square. Its factorization is 2 × 3^2 × 7 × 29587 and its 24 divisors sum to 9,231,456.

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 29587

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 9,231,456

Proper Divisor Sum 5,503,494

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3727961 ← → #3727991

Radix Representation

Decimal	3727962
Binary	1110001110001001011010 (22 bits)
Octal	0o16161132
Hexadecimal	0x38E25A

Divisor Catalog (24)

1 2 3 6 7 9 14 18 21 42 63 126 29,587 59,174 88,761 177,522 207,109 266,283 414,218 532,566 621,327 1,242,654 1,863,981 3,727,962

Collatz Trajectory (172 steps to reach 1)

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

3,727,962 1,863,981 5,591,944 2,795,972 1,397,986 698,993 2,096,980 1,048,490 524,245 1,572,736 786,368 393,184 196,592 98,296 49,148 24,574 12,287 36,862 18,431 55,294 27,647 82,942 41,471 124,414 62,207 186,622 93,311 279,934 139,967 419,902 209,951 629,854 314,927 944,782 472,391 1,417,174 708,587 2,125,762 1,062,881 3,188,644 1,594,322 797,161 2,391,484 1,195,742 597,871 1,793,614 896,807 2,690,422 1,345,211 4,035,634 2,017,817 6,053,452 3,026,726 1,513,363 4,540,090 2,270,045 6,810,136 3,405,068 1,702,534 851,267

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