λ
Prime Ledger

2,679,800

23 × 52 × 13399
Abundant Even Composite

2,679,800 has the prime decomposition 2^3 × 5^2 × 13399. Its 3 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 5^2 × 13399
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,231,000
Proper Divisor Sum 3,551,200
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #2679773 ← → #2679811

Radix Representation

Decimal 2679800
Binary 1010001110001111111000 (22 bits)
Octal 0o12161770
Hexadecimal 0x28E3F8

Divisor Catalog (24)

1 2 4 5 8 10 20 25 40 50 100 200 13,399 26,798 53,596 66,995 107,192 133,990 267,980 334,975 535,960 669,950 1,339,900 2,679,800

Collatz Trajectory (138 steps to reach 1)

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

2,679,800 1,339,900 669,950 334,975 1,004,926 502,463 1,507,390 753,695 2,261,086 1,130,543 3,391,630 1,695,815 5,087,446 2,543,723 7,631,170 3,815,585 11,446,756 5,723,378 2,861,689 8,585,068 4,292,534 2,146,267 6,438,802 3,219,401 9,658,204 4,829,102 2,414,551 7,243,654 3,621,827 10,865,482 5,432,741 16,298,224 8,149,112 4,074,556 2,037,278 1,018,639 3,055,918 1,527,959 4,583,878 2,291,939 6,875,818 3,437,909 10,313,728 5,156,864 2,578,432 1,289,216 644,608 322,304 161,152 80,576 40,288 20,144 10,072 5,036 2,518 1,259 3,778 1,889 5,668 2,834

More profiles

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