376,380

2² × 3³ × 5 × 17 × 41

376,380 factors as 2^2 × 3^3 × 5 × 17 × 41. Its 96 positive divisors give a proper-divisor sum of 893,700, so this integer is abundant. The Collatz stopping time is 130 steps.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 5 × 17 × 41

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 1,270,080

Proper Divisor Sum 893,700

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #376373 ← → #376393

Radix Representation

Decimal	376380
Binary	1011011111000111100 (19 bits)
Octal	0o1337074
Hexadecimal	0x5BE3C

Divisor Catalog (60 of 96)

1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 41 45 51 54 60 68 82 85 90 102 108 123 135 153 164 170 180 204 205 246 255 270 306 340 369 410 459 492 510 540 612 615 697 738 765 820 918 1,020 1,107 1,230 1,394 1,476 1,530

Collatz Trajectory (130 steps to reach 1)

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

376,380 188,190 94,095 282,286 141,143 423,430 211,715 635,146 317,573 952,720 476,360 238,180 119,090 59,545 178,636 89,318 44,659 133,978 66,989 200,968 100,484 50,242 25,121 75,364 37,682 18,841 56,524 28,262 14,131 42,394 21,197 63,592 31,796 15,898 7,949 23,848 11,924 5,962 2,981 8,944 4,472 2,236 1,118 559 1,678 839 2,518 1,259 3,778 1,889 5,668 2,834 1,417 4,252 2,126 1,063 3,190 1,595 4,786 2,393

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #376,379 Browse Full Index Next Integer #376,381 →