λ
Sigma Notebook

2,945,180

22 × 5 × 7 × 109 × 193
Abundant Even Composite

2,945,180 is even and not a perfect square. Its factorization is 2^2 × 5 × 7 × 109 × 193 and its 48 divisors sum to 7,170,240.

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 109 × 193
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 7,170,240
Proper Divisor Sum 4,225,060
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #2945179 ← → #2945191

Radix Representation

Decimal 2945180
Binary 1011001111000010011100 (22 bits)
Octal 0o13170234
Hexadecimal 0x2CF09C

Divisor Catalog (48)

1 2 4 5 7 10 14 20 28 35 70 109 140 193 218 386 436 545 763 772 965 1,090 1,351 1,526 1,930 2,180 2,702 3,052 3,815 3,860 5,404 6,755 7,630 13,510 15,260 21,037 27,020 42,074 84,148 105,185 147,259 210,370 294,518 420,740 589,036 736,295 1,472,590 2,945,180

Collatz Trajectory (182 steps to reach 1)

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

2,945,180 1,472,590 736,295 2,208,886 1,104,443 3,313,330 1,656,665 4,969,996 2,484,998 1,242,499 3,727,498 1,863,749 5,591,248 2,795,624 1,397,812 698,906 349,453 1,048,360 524,180 262,090 131,045 393,136 196,568 98,284 49,142 24,571 73,714 36,857 110,572 55,286 27,643 82,930 41,465 124,396 62,198 31,099 93,298 46,649 139,948 69,974 34,987 104,962 52,481 157,444 78,722 39,361 118,084 59,042 29,521 88,564 44,282 22,141 66,424 33,212 16,606 8,303 24,910 12,455 37,366 18,683

More profiles

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