λ
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2,134,580

22 × 5 × 7 × 79 × 193
Abundant Even Composite

2,134,580 factors as 2^2 × 5 × 7 × 79 × 193. Its 48 positive divisors give a proper-divisor sum of 3,080,140, so this integer is abundant. The Collatz stopping time is 122 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 79 × 193
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 5,214,720
Proper Divisor Sum 3,080,140
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #2134579 ← → #2134589

Radix Representation

Decimal 2134580
Binary 1000001001001000110100 (22 bits)
Octal 0o10111064
Hexadecimal 0x209234

Divisor Catalog (48)

1 2 4 5 7 10 14 20 28 35 70 79 140 158 193 316 386 395 553 772 790 965 1,106 1,351 1,580 1,930 2,212 2,702 2,765 3,860 5,404 5,530 6,755 11,060 13,510 15,247 27,020 30,494 60,988 76,235 106,729 152,470 213,458 304,940 426,916 533,645 1,067,290 2,134,580

Collatz Trajectory (122 steps to reach 1)

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

2,134,580 1,067,290 533,645 1,600,936 800,468 400,234 200,117 600,352 300,176 150,088 75,044 37,522 18,761 56,284 28,142 14,071 42,214 21,107 63,322 31,661 94,984 47,492 23,746 11,873 35,620 17,810 8,905 26,716 13,358 6,679 20,038 10,019 30,058 15,029 45,088 22,544 11,272 5,636 2,818 1,409 4,228 2,114 1,057 3,172 1,586 793 2,380 1,190 595 1,786 893 2,680 1,340 670 335 1,006 503 1,510 755 2,266

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