3,647,040

2⁶ × 3 × 5 × 29 × 131

3,647,040 is even and not a perfect square. Its factorization is 2^6 × 3 × 5 × 29 × 131 and its 112 divisors sum to 12,070,080.

Prime Factor Structure

Factorization String 2^6 × 3 × 5 × 29 × 131

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 112

Divisor Sum (σ) 12,070,080

Proper Divisor Sum 8,423,040

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #3647029 ← → #3647071

Radix Representation

Decimal	3647040
Binary	1101111010011001000000 (22 bits)
Octal	0o15723100
Hexadecimal	0x37A640

Divisor Catalog (60 of 112)

1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 64 80 87 96 116 120 131 145 160 174 192 232 240 262 290 320 348 393 435 464 480 524 580 655 696 786 870 928 960 1,048 1,160 1,310 1,392 1,572 1,740 1,856 1,965 2,096 2,320 2,620

Collatz Trajectory (110 steps to reach 1)

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

3,647,040 1,823,520 911,760 455,880 227,940 113,970 56,985 170,956 85,478 42,739 128,218 64,109 192,328 96,164 48,082 24,041 72,124 36,062 18,031 54,094 27,047 81,142 40,571 121,714 60,857 182,572 91,286 45,643 136,930 68,465 205,396 102,698 51,349 154,048 77,024 38,512 19,256 9,628 4,814 2,407 7,222 3,611 10,834 5,417 16,252 8,126 4,063 12,190 6,095 18,286 9,143 27,430 13,715 41,146 20,573 61,720 30,860 15,430 7,715 23,146

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