3,018,080

2⁵ × 5 × 13 × 1451

3,018,080 is even and not a perfect square. Its factorization is 2^5 × 5 × 13 × 1451 and its 48 divisors sum to 7,683,984.

Prime Factor Structure

Factorization String 2^5 × 5 × 13 × 1451

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 7,683,984

Proper Divisor Sum 4,665,904

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #3018047 ← → #3018091

Radix Representation

Decimal	3018080
Binary	1011100000110101100000 (22 bits)
Octal	0o13406540
Hexadecimal	0x2E0D60

Divisor Catalog (48)

1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1,040 1,451 2,080 2,902 5,804 7,255 11,608 14,510 18,863 23,216 29,020 37,726 46,432 58,040 75,452 94,315 116,080 150,904 188,630 232,160 301,808 377,260 603,616 754,520 1,509,040 3,018,080

Collatz Trajectory (133 steps to reach 1)

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

3,018,080 1,509,040 754,520 377,260 188,630 94,315 282,946 141,473 424,420 212,210 106,105 318,316 159,158 79,579 238,738 119,369 358,108 179,054 89,527 268,582 134,291 402,874 201,437 604,312 302,156 151,078 75,539 226,618 113,309 339,928 169,964 84,982 42,491 127,474 63,737 191,212 95,606 47,803 143,410 71,705 215,116 107,558 53,779 161,338 80,669 242,008 121,004 60,502 30,251 90,754 45,377 136,132 68,066 34,033 102,100 51,050 25,525 76,576 38,288 19,144

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