3,724,560

2⁴ × 3² × 5 × 7 × 739

3,724,560 is even and not a perfect square. Its factorization is 2^4 × 3^2 × 5 × 7 × 739 and its 120 divisors sum to 14,314,560.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 5 × 7 × 739

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 14,314,560

Proper Divisor Sum 10,590,000

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3724559 ← → #3724573

Radix Representation

Decimal	3724560
Binary	1110001101010100010000 (22 bits)
Octal	0o16152420
Hexadecimal	0x38D510

Divisor Catalog (60 of 120)

1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 739 840 1,008 1,260 1,478 1,680

Collatz Trajectory (185 steps to reach 1)

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

3,724,560 1,862,280 931,140 465,570 232,785 698,356 349,178 174,589 523,768 261,884 130,942 65,471 196,414 98,207 294,622 147,311 441,934 220,967 662,902 331,451 994,354 497,177 1,491,532 745,766 372,883 1,118,650 559,325 1,677,976 838,988 419,494 209,747 629,242 314,621 943,864 471,932 235,966 117,983 353,950 176,975 530,926 265,463 796,390 398,195 1,194,586 597,293 1,791,880 895,940 447,970 223,985 671,956 335,978 167,989 503,968 251,984 125,992 62,996 31,498 15,749 47,248 23,624

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