λ
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4,193,072

24 × 13 × 19 × 1061
Abundant Even Composite

4,193,072 factors as 2^4 × 13 × 19 × 1061. Its 40 positive divisors give a proper-divisor sum of 5,025,088, so this integer is abundant. The Collatz stopping time is 74 steps.

Prime Factor Structure

Factorization String 2^4 × 13 × 19 × 1061
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 9,218,160
Proper Divisor Sum 5,025,088
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #4193051 ← → #4193087

Radix Representation

Decimal 4193072
Binary 1111111111101100110000 (22 bits)
Octal 0o17775460
Hexadecimal 0x3FFB30

Divisor Catalog (40)

1 2 4 8 13 16 19 26 38 52 76 104 152 208 247 304 494 988 1,061 1,976 2,122 3,952 4,244 8,488 13,793 16,976 20,159 27,586 40,318 55,172 80,636 110,344 161,272 220,688 262,067 322,544 524,134 1,048,268 2,096,536 4,193,072

Collatz Trajectory (74 steps to reach 1)

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

4,193,072 2,096,536 1,048,268 524,134 262,067 786,202 393,101 1,179,304 589,652 294,826 147,413 442,240 221,120 110,560 55,280 27,640 13,820 6,910 3,455 10,366 5,183 15,550 7,775 23,326 11,663 34,990 17,495 52,486 26,243 78,730 39,365 118,096 59,048 29,524 14,762 7,381 22,144 11,072 5,536 2,768 1,384 692 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 22

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