λ
Prime Ledger

2,404,928

26 × 53 × 709
Abundant Even Composite

2,404,928 has the prime decomposition 2^6 × 53 × 709. Its 3 distinct prime factors produce 28 positive divisors.

Prime Factor Structure

Factorization String 2^6 × 53 × 709
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 4,869,180
Proper Divisor Sum 2,464,252
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #2404907 ← → #2404931

Radix Representation

Decimal 2404928
Binary 1001001011001001000000 (22 bits)
Octal 0o11131100
Hexadecimal 0x24B240

Divisor Catalog (28)

1 2 4 8 16 32 53 64 106 212 424 709 848 1,418 1,696 2,836 3,392 5,672 11,344 22,688 37,577 45,376 75,154 150,308 300,616 601,232 1,202,464 2,404,928

Collatz Trajectory (68 steps to reach 1)

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

2,404,928 1,202,464 601,232 300,616 150,308 75,154 37,577 112,732 56,366 28,183 84,550 42,275 126,826 63,413 190,240 95,120 47,560 23,780 11,890 5,945 17,836 8,918 4,459 13,378 6,689 20,068 10,034 5,017 15,052 7,526 3,763 11,290 5,645 16,936 8,468 4,234 2,117 6,352 3,176 1,588 794 397 1,192 596 298 149 448 224 112 56 28 14 7 22 11 34 17 52 26 13

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