3,578,640

2⁴ × 3 × 5 × 13 × 31 × 37

3,578,640 has the prime decomposition 2^4 × 3 × 5 × 13 × 31 × 37. Its 6 distinct prime factors produce 160 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 13 × 31 × 37

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 160

Divisor Sum (σ) 12,665,856

Proper Divisor Sum 9,087,216

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #3578633 ← → #3578651

Radix Representation

Decimal	3578640
Binary	1101101001101100010000 (22 bits)
Octal	0o15515420
Hexadecimal	0x369B10

Divisor Catalog (60 of 160)

1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 31 37 39 40 48 52 60 62 65 74 78 80 93 104 111 120 124 130 148 155 156 185 186 195 208 222 240 248 260 296 310 312 370 372 390 403 444 465 481 496 520 555 592 620

Collatz Trajectory (97 steps to reach 1)

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

3,578,640 1,789,320 894,660 447,330 223,665 670,996 335,498 167,749 503,248 251,624 125,812 62,906 31,453 94,360 47,180 23,590 11,795 35,386 17,693 53,080 26,540 13,270 6,635 19,906 9,953 29,860 14,930 7,465 22,396 11,198 5,599 16,798 8,399 25,198 12,599 37,798 18,899 56,698 28,349 85,048 42,524 21,262 10,631 31,894 15,947 47,842 23,921 71,764 35,882 17,941 53,824 26,912 13,456 6,728 3,364 1,682 841 2,524 1,262 631

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