λ
Prime Ledger

2,405,844

22 × 32 × 7 × 9547
Abundant Even Composite

2,405,844 has the prime decomposition 2^2 × 3^2 × 7 × 9547. Its 4 distinct prime factors produce 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 7 × 9547
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 6,950,944
Proper Divisor Sum 4,545,100
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2405833 ← → #2405863

Radix Representation

Decimal 2405844
Binary 1001001011010111010100 (22 bits)
Octal 0o11132724
Hexadecimal 0x24B5D4

Divisor Catalog (36)

1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 9,547 19,094 28,641 38,188 57,282 66,829 85,923 114,564 133,658 171,846 200,487 267,316 343,692 400,974 601,461 801,948 1,202,922 2,405,844

Collatz Trajectory (161 steps to reach 1)

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

2,405,844 1,202,922 601,461 1,804,384 902,192 451,096 225,548 112,774 56,387 169,162 84,581 253,744 126,872 63,436 31,718 15,859 47,578 23,789 71,368 35,684 17,842 8,921 26,764 13,382 6,691 20,074 10,037 30,112 15,056 7,528 3,764 1,882 941 2,824 1,412 706 353 1,060 530 265 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430

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