377,982

2 × 3² × 11 × 23 × 83

377,982 factors as 2 × 3^2 × 11 × 23 × 83. Its 48 positive divisors give a proper-divisor sum of 565,506, so this integer is abundant. The Collatz stopping time is 86 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 11 × 23 × 83

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 943,488

Proper Divisor Sum 565,506

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #377981 ← → #377999

Radix Representation

Decimal	377982
Binary	1011100010001111110 (19 bits)
Octal	0o1342176
Hexadecimal	0x5C47E

Divisor Catalog (48)

1 2 3 6 9 11 18 22 23 33 46 66 69 83 99 138 166 198 207 249 253 414 498 506 747 759 913 1,494 1,518 1,826 1,909 2,277 2,739 3,818 4,554 5,478 5,727 8,217 11,454 16,434 17,181 20,999 34,362 41,998 62,997 125,994 188,991 377,982

Collatz Trajectory (86 steps to reach 1)

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

377,982 188,991 566,974 283,487 850,462 425,231 1,275,694 637,847 1,913,542 956,771 2,870,314 1,435,157 4,305,472 2,152,736 1,076,368 538,184 269,092 134,546 67,273 201,820 100,910 50,455 151,366 75,683 227,050 113,525 340,576 170,288 85,144 42,572 21,286 10,643 31,930 15,965 47,896 23,948 11,974 5,987 17,962 8,981 26,944 13,472 6,736 3,368 1,684 842 421 1,264 632 316 158 79 238 119 358 179 538 269 808 404

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