λ
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2,161,180

22 × 5 × 7 × 43 × 359
Abundant Even Composite

2,161,180 factors as 2^2 × 5 × 7 × 43 × 359. Its 48 positive divisors give a proper-divisor sum of 3,161,060, so this integer is abundant. The Collatz stopping time is 117 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 43 × 359
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 5,322,240
Proper Divisor Sum 3,161,060
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #2161177 ← → #2161189

Radix Representation

Decimal 2161180
Binary 1000001111101000011100 (22 bits)
Octal 0o10175034
Hexadecimal 0x20FA1C

Divisor Catalog (48)

1 2 4 5 7 10 14 20 28 35 43 70 86 140 172 215 301 359 430 602 718 860 1,204 1,436 1,505 1,795 2,513 3,010 3,590 5,026 6,020 7,180 10,052 12,565 15,437 25,130 30,874 50,260 61,748 77,185 108,059 154,370 216,118 308,740 432,236 540,295 1,080,590 2,161,180

Collatz Trajectory (117 steps to reach 1)

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

2,161,180 1,080,590 540,295 1,620,886 810,443 2,431,330 1,215,665 3,646,996 1,823,498 911,749 2,735,248 1,367,624 683,812 341,906 170,953 512,860 256,430 128,215 384,646 192,323 576,970 288,485 865,456 432,728 216,364 108,182 54,091 162,274 81,137 243,412 121,706 60,853 182,560 91,280 45,640 22,820 11,410 5,705 17,116 8,558 4,279 12,838 6,419 19,258 9,629 28,888 14,444 7,222 3,611 10,834 5,417 16,252 8,126 4,063 12,190 6,095 18,286 9,143 27,430 13,715

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