λ
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Atlas › Integer Profiles › Node 3,758,080

3,758,080

211 × 5 × 367
Abundant Even Composite

3,758,080 factors as 2^11 × 5 × 367. Its 48 positive divisors give a proper-divisor sum of 5,283,680, so this integer is abundant. The Collatz stopping time is 141 steps.

Prime Factor Structure

Factorization String 2^11 × 5 × 367
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 9,041,760
Proper Divisor Sum 5,283,680
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #3758077 ← → #3758087

Radix Representation

Decimal 3758080
Binary 1110010101100000000000 (22 bits)
Octal 0o16254000
Hexadecimal 0x395800

Divisor Catalog (48)

1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 367 512 640 734 1,024 1,280 1,468 1,835 2,048 2,560 2,936 3,670 5,120 5,872 7,340 10,240 11,744 14,680 23,488 29,360 46,976 58,720 93,952 117,440 187,904 234,880 375,808 469,760 751,616 939,520 1,879,040 3,758,080

Collatz Trajectory (141 steps to reach 1)

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

3,758,080 1,879,040 939,520 469,760 234,880 117,440 58,720 29,360 14,680 7,340 3,670 1,835 5,506 2,753 8,260 4,130 2,065 6,196 3,098 1,549 4,648 2,324 1,162 581 1,744 872 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700

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