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4,495,840

25 × 5 × 28099
Abundant Even Composite

4,495,840 factors as 2^5 × 5 × 28099. Its 24 positive divisors give a proper-divisor sum of 6,125,960, so this integer is abundant. The Collatz stopping time is 136 steps.

Prime Factor Structure

Factorization String 2^5 × 5 × 28099
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 10,621,800
Proper Divisor Sum 6,125,960
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #4495817 ← → #4495849

Radix Representation

Decimal 4495840
Binary 10001001001100111100000 (23 bits)
Octal 0o21114740
Hexadecimal 0x4499E0

Divisor Catalog (24)

1 2 4 5 8 10 16 20 32 40 80 160 28,099 56,198 112,396 140,495 224,792 280,990 449,584 561,980 899,168 1,123,960 2,247,920 4,495,840

Collatz Trajectory (136 steps to reach 1)

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

4,495,840 2,247,920 1,123,960 561,980 280,990 140,495 421,486 210,743 632,230 316,115 948,346 474,173 1,422,520 711,260 355,630 177,815 533,446 266,723 800,170 400,085 1,200,256 600,128 300,064 150,032 75,016 37,508 18,754 9,377 28,132 14,066 7,033 21,100 10,550 5,275 15,826 7,913 23,740 11,870 5,935 17,806 8,903 26,710 13,355 40,066 20,033 60,100 30,050 15,025 45,076 22,538 11,269 33,808 16,904 8,452 4,226 2,113 6,340 3,170 1,585 4,756

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