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4,480,720

24 × 5 × 56009
Abundant Even Composite

4,480,720 factors as 2^4 × 5 × 56009. Its 20 positive divisors give a proper-divisor sum of 5,937,140, so this integer is abundant. The Collatz stopping time is 211 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 56009
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 10,417,860
Proper Divisor Sum 5,937,140
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #4480691 ← → #4480757

Radix Representation

Decimal 4480720
Binary 10001000101111011010000 (23 bits)
Octal 0o21057320
Hexadecimal 0x445ED0

Divisor Catalog (20)

1 2 4 5 8 10 16 20 40 80 56,009 112,018 224,036 280,045 448,072 560,090 896,144 1,120,180 2,240,360 4,480,720

Collatz Trajectory (211 steps to reach 1)

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

4,480,720 2,240,360 1,120,180 560,090 280,045 840,136 420,068 210,034 105,017 315,052 157,526 78,763 236,290 118,145 354,436 177,218 88,609 265,828 132,914 66,457 199,372 99,686 49,843 149,530 74,765 224,296 112,148 56,074 28,037 84,112 42,056 21,028 10,514 5,257 15,772 7,886 3,943 11,830 5,915 17,746 8,873 26,620 13,310 6,655 19,966 9,983 29,950 14,975 44,926 22,463 67,390 33,695 101,086 50,543 151,630 75,815 227,446 113,723 341,170 170,585

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