λ
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5,489,634

2 × 3 × 53 × 61 × 283
Abundant Even Composite

5,489,634 factors as 2 × 3 × 53 × 61 × 283. Its 32 positive divisors give a proper-divisor sum of 5,920,350, so this integer is abundant. The Collatz stopping time is 108 steps.

Prime Factor Structure

Factorization String 2 × 3 × 53 × 61 × 283
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 11,409,984
Proper Divisor Sum 5,920,350
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #5489629 ← → #5489639

Radix Representation

Decimal 5489634
Binary 10100111100001111100010 (23 bits)
Octal 0o24741742
Hexadecimal 0x53C3E2

Divisor Catalog (32)

1 2 3 6 53 61 106 122 159 183 283 318 366 566 849 1,698 3,233 6,466 9,699 14,999 17,263 19,398 29,998 34,526 44,997 51,789 89,994 103,578 914,939 1,829,878 2,744,817 5,489,634

Collatz Trajectory (108 steps to reach 1)

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

5,489,634 2,744,817 8,234,452 4,117,226 2,058,613 6,175,840 3,087,920 1,543,960 771,980 385,990 192,995 578,986 289,493 868,480 434,240 217,120 108,560 54,280 27,140 13,570 6,785 20,356 10,178 5,089 15,268 7,634 3,817 11,452 5,726 2,863 8,590 4,295 12,886 6,443 19,330 9,665 28,996 14,498 7,249 21,748 10,874 5,437 16,312 8,156 4,078 2,039 6,118 3,059 9,178 4,589 13,768 6,884 3,442 1,721 5,164 2,582 1,291 3,874 1,937 5,812

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