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3,598,720

27 × 5 × 5623
Abundant Even Composite

3,598,720 factors as 2^7 × 5 × 5623. Its 32 positive divisors give a proper-divisor sum of 5,006,000, so this integer is abundant. The Collatz stopping time is 190 steps.

Prime Factor Structure

Factorization String 2^7 × 5 × 5623
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,604,720
Proper Divisor Sum 5,006,000
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #3598709 ← → #3598723

Radix Representation

Decimal 3598720
Binary 1101101110100110000000 (22 bits)
Octal 0o15564600
Hexadecimal 0x36E980

Divisor Catalog (32)

1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 5,623 11,246 22,492 28,115 44,984 56,230 89,968 112,460 179,936 224,920 359,872 449,840 719,744 899,680 1,799,360 3,598,720

Collatz Trajectory (190 steps to reach 1)

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

3,598,720 1,799,360 899,680 449,840 224,920 112,460 56,230 28,115 84,346 42,173 126,520 63,260 31,630 15,815 47,446 23,723 71,170 35,585 106,756 53,378 26,689 80,068 40,034 20,017 60,052 30,026 15,013 45,040 22,520 11,260 5,630 2,815 8,446 4,223 12,670 6,335 19,006 9,503 28,510 14,255 42,766 21,383 64,150 32,075 96,226 48,113 144,340 72,170 36,085 108,256 54,128 27,064 13,532 6,766 3,383 10,150 5,075 15,226 7,613 22,840

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