3,644,480

2⁶ × 5 × 7 × 1627

For 3,644,480, the 56 positive divisors have a total of 9,924,288. Removing 3,644,480 leaves 6,279,808, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^6 × 5 × 7 × 1627

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 56

Divisor Sum (σ) 9,924,288

Proper Divisor Sum 6,279,808

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #3644479 ← → #3644483

Radix Representation

Decimal	3644480
Binary	1101111001110001000000 (22 bits)
Octal	0o15716100
Hexadecimal	0x379C40

Divisor Catalog (56)

1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1,120 1,627 2,240 3,254 6,508 8,135 11,389 13,016 16,270 22,778 26,032 32,540 45,556 52,064 56,945 65,080 91,112 104,128 113,890 130,160 182,224 227,780 260,320 364,448 455,560 520,640 728,896 911,120 1,822,240 3,644,480

Collatz Trajectory (159 steps to reach 1)

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

3,644,480 1,822,240 911,120 455,560 227,780 113,890 56,945 170,836 85,418 42,709 128,128 64,064 32,032 16,016 8,008 4,004 2,002 1,001 3,004 1,502 751 2,254 1,127 3,382 1,691 5,074 2,537 7,612 3,806 1,903 5,710 2,855 8,566 4,283 12,850 6,425 19,276 9,638 4,819 14,458 7,229 21,688 10,844 5,422 2,711 8,134 4,067 12,202 6,101 18,304 9,152 4,576 2,288 1,144 572 286 143 430 215 646

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