λ
Prime Ledger

2,520,340

22 × 5 × 23 × 5479
Abundant Even Composite

2,520,340 has the prime decomposition 2^2 × 5 × 23 × 5479. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 23 × 5479
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,523,840
Proper Divisor Sum 3,003,500
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #2520319 ← → #2520347

Radix Representation

Decimal 2520340
Binary 1001100111010100010100 (22 bits)
Octal 0o11472424
Hexadecimal 0x267514

Divisor Catalog (24)

1 2 4 5 10 20 23 46 92 115 230 460 5,479 10,958 21,916 27,395 54,790 109,580 126,017 252,034 504,068 630,085 1,260,170 2,520,340

Collatz Trajectory (205 steps to reach 1)

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

2,520,340 1,260,170 630,085 1,890,256 945,128 472,564 236,282 118,141 354,424 177,212 88,606 44,303 132,910 66,455 199,366 99,683 299,050 149,525 448,576 224,288 112,144 56,072 28,036 14,018 7,009 21,028 10,514 5,257 15,772 7,886 3,943 11,830 5,915 17,746 8,873 26,620 13,310 6,655 19,966 9,983 29,950 14,975 44,926 22,463 67,390 33,695 101,086 50,543 151,630 75,815 227,446 113,723 341,170 170,585 511,756 255,878 127,939 383,818 191,909 575,728

More profiles

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