3,621,200

2⁴ × 5² × 11 × 823

3,621,200 is even and not a perfect square. Its factorization is 2^4 × 5^2 × 11 × 823 and its 60 divisors sum to 9,502,368.

Prime Factor Structure

Factorization String 2^4 × 5^2 × 11 × 823

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 9,502,368

Proper Divisor Sum 5,881,168

Digit Sum / Digital Root 14 (Root: 5)

Adjacent Primes #3621199 ← → #3621217

Radix Representation

Decimal	3621200
Binary	1101110100000101010000 (22 bits)
Octal	0o15640520
Hexadecimal	0x374150

Divisor Catalog (60)

1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 823 880 1,100 1,646 2,200 3,292 4,115 4,400 6,584 8,230 9,053 13,168 16,460 18,106 20,575 32,920 36,212 41,150 45,265 65,840 72,424 82,300 90,530 144,848 164,600 181,060 226,325 329,200 362,120 452,650 724,240 905,300 1,810,600 3,621,200

Collatz Trajectory (40 steps to reach 1)

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

3,621,200 1,810,600 905,300 452,650 226,325 678,976 339,488 169,744 84,872 42,436 21,218 10,609 31,828 15,914 7,957 23,872 11,936 5,968 2,984 1,492 746 373 1,120 560 280 140 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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