λ
Prime Ledger

2,479,484

22 × 7 × 17 × 5209
Abundant Even Composite

2,479,484 has the prime decomposition 2^2 × 7 × 17 × 5209. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 7 × 17 × 5209
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,251,680
Proper Divisor Sum 2,772,196
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #2479483 ← → #2479487

Radix Representation

Decimal 2479484
Binary 1001011101010101111100 (22 bits)
Octal 0o11352574
Hexadecimal 0x25D57C

Divisor Catalog (24)

1 2 4 7 14 17 28 34 68 119 238 476 5,209 10,418 20,836 36,463 72,926 88,553 145,852 177,106 354,212 619,871 1,239,742 2,479,484

Collatz Trajectory (112 steps to reach 1)

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

2,479,484 1,239,742 619,871 1,859,614 929,807 2,789,422 1,394,711 4,184,134 2,092,067 6,276,202 3,138,101 9,414,304 4,707,152 2,353,576 1,176,788 588,394 294,197 882,592 441,296 220,648 110,324 55,162 27,581 82,744 41,372 20,686 10,343 31,030 15,515 46,546 23,273 69,820 34,910 17,455 52,366 26,183 78,550 39,275 117,826 58,913 176,740 88,370 44,185 132,556 66,278 33,139 99,418 49,709 149,128 74,564 37,282 18,641 55,924 27,962 13,981 41,944 20,972 10,486 5,243 15,730

More profiles

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