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3,333,720

23 × 3 × 5 × 13 × 2137
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 13 × 2137
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 10,775,520
Proper Divisor Sum 7,441,800
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #3333703 ← → #3333727

Radix Representation

Decimal 3333720
Binary 1100101101111001011000 (22 bits)
Octal 0o14557130
Hexadecimal 0x32DE58

Divisor Catalog (60 of 64)

1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1,560 2,137 4,274 6,411 8,548 10,685 12,822 17,096 21,370 25,644 27,781 32,055 42,740 51,288 55,562 64,110 83,343 85,480 111,124 128,220 138,905 166,686 222,248 256,440 277,810 333,372 416,715 555,620 666,744

Collatz Trajectory (115 steps to reach 1)

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

3,333,720 1,666,860 833,430 416,715 1,250,146 625,073 1,875,220 937,610 468,805 1,406,416 703,208 351,604 175,802 87,901 263,704 131,852 65,926 32,963 98,890 49,445 148,336 74,168 37,084 18,542 9,271 27,814 13,907 41,722 20,861 62,584 31,292 15,646 7,823 23,470 11,735 35,206 17,603 52,810 26,405 79,216 39,608 19,804 9,902 4,951 14,854 7,427 22,282 11,141 33,424 16,712 8,356 4,178 2,089 6,268 3,134 1,567 4,702 2,351 7,054 3,527

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