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38,200,060

22 × 5 × 31 × 61613
Abundant Even Composite

38,200,060 factors as 2^2 × 5 × 31 × 61613. Its 24 positive divisors give a proper-divisor sum of 44,609,156, so this integer is abundant. The Collatz stopping time is 103 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 31 × 61613
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 82,809,216
Proper Divisor Sum 44,609,156
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #38200009 ← → #38200067

Radix Representation

Decimal 38200060
Binary 10010001101110001011111100 (26 bits)
Octal 0o221561374
Hexadecimal 0x246E2FC

Divisor Catalog (24)

1 2 4 5 10 20 31 62 124 155 310 620 61,613 123,226 246,452 308,065 616,130 1,232,260 1,910,003 3,820,006 7,640,012 9,550,015 19,100,030 38,200,060

Collatz Trajectory (103 steps to reach 1)

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

38,200,060 19,100,030 9,550,015 28,650,046 14,325,023 42,975,070 21,487,535 64,462,606 32,231,303 96,693,910 48,346,955 145,040,866 72,520,433 217,561,300 108,780,650 54,390,325 163,170,976 81,585,488 40,792,744 20,396,372 10,198,186 5,099,093 15,297,280 7,648,640 3,824,320 1,912,160 956,080 478,040 239,020 119,510 59,755 179,266 89,633 268,900 134,450 67,225 201,676 100,838 50,419 151,258 75,629 226,888 113,444 56,722 28,361 85,084 42,542 21,271 63,814 31,907 95,722 47,861 143,584 71,792 35,896 17,948 8,974 4,487 13,462 6,731

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