3,640,420

2² × 5 × 7 × 26003

3,640,420 is even and not a perfect square. Its factorization is 2^2 × 5 × 7 × 26003 and its 24 divisors sum to 8,737,344.

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 26003

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 8,737,344

Proper Divisor Sum 5,096,924

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #3640409 ← → #3640447

Radix Representation

Decimal	3640420
Binary	1101111000110001100100 (22 bits)
Octal	0o15706144
Hexadecimal	0x378C64

Divisor Catalog (24)

1 2 4 5 7 10 14 20 28 35 70 140 26,003 52,006 104,012 130,015 182,021 260,030 364,042 520,060 728,084 910,105 1,820,210 3,640,420

Collatz Trajectory (110 steps to reach 1)

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

3,640,420 1,820,210 910,105 2,730,316 1,365,158 682,579 2,047,738 1,023,869 3,071,608 1,535,804 767,902 383,951 1,151,854 575,927 1,727,782 863,891 2,591,674 1,295,837 3,887,512 1,943,756 971,878 485,939 1,457,818 728,909 2,186,728 1,093,364 546,682 273,341 820,024 410,012 205,006 102,503 307,510 153,755 461,266 230,633 691,900 345,950 172,975 518,926 259,463 778,390 389,195 1,167,586 583,793 1,751,380 875,690 437,845 1,313,536 656,768 328,384 164,192 82,096 41,048 20,524 10,262 5,131 15,394 7,697 23,092

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