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2,014,416

24 × 33 × 4663
Abundant Even Composite

2,014,416 factors as 2^4 × 3^3 × 4663. Its 40 positive divisors give a proper-divisor sum of 3,768,944, so this integer is abundant. The Collatz stopping time is 91 steps.

Prime Factor Structure

Factorization String 2^4 × 3^3 × 4663
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 5,783,360
Proper Divisor Sum 3,768,944
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #2014393 ← → #2014423

Radix Representation

Decimal 2014416
Binary 111101011110011010000 (21 bits)
Octal 0o7536320
Hexadecimal 0x1EBCD0

Divisor Catalog (40)

1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 4,663 9,326 13,989 18,652 27,978 37,304 41,967 55,956 74,608 83,934 111,912 125,901 167,868 223,824 251,802 335,736 503,604 671,472 1,007,208 2,014,416

Collatz Trajectory (91 steps to reach 1)

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

2,014,416 1,007,208 503,604 251,802 125,901 377,704 188,852 94,426 47,213 141,640 70,820 35,410 17,705 53,116 26,558 13,279 39,838 19,919 59,758 29,879 89,638 44,819 134,458 67,229 201,688 100,844 50,422 25,211 75,634 37,817 113,452 56,726 28,363 85,090 42,545 127,636 63,818 31,909 95,728 47,864 23,932 11,966 5,983 17,950 8,975 26,926 13,463 40,390 20,195 60,586 30,293 90,880 45,440 22,720 11,360 5,680 2,840 1,420 710 355

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