λ
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17,823,980

22 × 5 × 29 × 79 × 389
Abundant Even Composite

17,823,980 factors as 2^2 × 5 × 29 × 79 × 389. Its 48 positive divisors give a proper-divisor sum of 21,488,020, so this integer is abundant. The Collatz stopping time is 94 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 29 × 79 × 389
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 39,312,000
Proper Divisor Sum 21,488,020
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #17823979 ← → #17823983

Radix Representation

Decimal 17823980
Binary 1000011111111100011101100 (25 bits)
Octal 0o103774354
Hexadecimal 0x10FF8EC

Divisor Catalog (48)

1 2 4 5 10 20 29 58 79 116 145 158 290 316 389 395 580 778 790 1,556 1,580 1,945 2,291 3,890 4,582 7,780 9,164 11,281 11,455 22,562 22,910 30,731 45,124 45,820 56,405 61,462 112,810 122,924 153,655 225,620 307,310 614,620 891,199 1,782,398 3,564,796 4,455,995 8,911,990 17,823,980

Collatz Trajectory (94 steps to reach 1)

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

17,823,980 8,911,990 4,455,995 13,367,986 6,683,993 20,051,980 10,025,990 5,012,995 15,038,986 7,519,493 22,558,480 11,279,240 5,639,620 2,819,810 1,409,905 4,229,716 2,114,858 1,057,429 3,172,288 1,586,144 793,072 396,536 198,268 99,134 49,567 148,702 74,351 223,054 111,527 334,582 167,291 501,874 250,937 752,812 376,406 188,203 564,610 282,305 846,916 423,458 211,729 635,188 317,594 158,797 476,392 238,196 119,098 59,549 178,648 89,324 44,662 22,331 66,994 33,497 100,492 50,246 25,123 75,370 37,685 113,056

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