λ
Prime Ledger

2,134,104

23 × 3 × 7 × 12703
Abundant Even Composite

2,134,104 has the prime decomposition 2^3 × 3 × 7 × 12703. Its 4 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 7 × 12703
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,097,920
Proper Divisor Sum 3,963,816
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #2134087 ← → #2134109

Radix Representation

Decimal 2134104
Binary 1000001001000001011000 (22 bits)
Octal 0o10110130
Hexadecimal 0x209058

Divisor Catalog (32)

1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 12,703 25,406 38,109 50,812 76,218 88,921 101,624 152,436 177,842 266,763 304,872 355,684 533,526 711,368 1,067,052 2,134,104

Collatz Trajectory (96 steps to reach 1)

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

2,134,104 1,067,052 533,526 266,763 800,290 400,145 1,200,436 600,218 300,109 900,328 450,164 225,082 112,541 337,624 168,812 84,406 42,203 126,610 63,305 189,916 94,958 47,479 142,438 71,219 213,658 106,829 320,488 160,244 80,122 40,061 120,184 60,092 30,046 15,023 45,070 22,535 67,606 33,803 101,410 50,705 152,116 76,058 38,029 114,088 57,044 28,522 14,261 42,784 21,392 10,696 5,348 2,674 1,337 4,012 2,006 1,003 3,010 1,505 4,516 2,258

More profiles

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