λ
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57,727,796

22 × 7 × 863 × 2389
Abundant Even Composite

57,727,796 factors as 2^2 × 7 × 863 × 2389. Its 24 positive divisors give a proper-divisor sum of 57,909,964, so this integer is abundant. The Collatz stopping time is 145 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 863 × 2389
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 115,637,760
Proper Divisor Sum 57,909,964
Digit Sum / Digital Root 50 (Root: 5)
Adjacent Primes #57727793 ← → #57727799

Radix Representation

Decimal 57727796
Binary 11011100001101101100110100 (26 bits)
Octal 0o334155464
Hexadecimal 0x370DB34

Divisor Catalog (24)

1 2 4 7 14 28 863 1,726 2,389 3,452 4,778 6,041 9,556 12,082 16,723 24,164 33,446 66,892 2,061,707 4,123,414 8,246,828 14,431,949 28,863,898 57,727,796

Collatz Trajectory (145 steps to reach 1)

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

57,727,796 28,863,898 14,431,949 43,295,848 21,647,924 10,823,962 5,411,981 16,235,944 8,117,972 4,058,986 2,029,493 6,088,480 3,044,240 1,522,120 761,060 380,530 190,265 570,796 285,398 142,699 428,098 214,049 642,148 321,074 160,537 481,612 240,806 120,403 361,210 180,605 541,816 270,908 135,454 67,727 203,182 101,591 304,774 152,387 457,162 228,581 685,744 342,872 171,436 85,718 42,859 128,578 64,289 192,868 96,434 48,217 144,652 72,326 36,163 108,490 54,245 162,736 81,368 40,684 20,342 10,171

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