λ
Integer Codex

5,724,082

2 × 72 × 13 × 4493
Deficient Even Composite

For 5,724,082, the 24 positive divisors have a total of 10,758,636. Removing 5,724,082 leaves 5,034,554, which gives the deficient classification.

Prime Factor Structure

Factorization String 2 × 7^2 × 13 × 4493
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 10,758,636
Proper Divisor Sum 5,034,554
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #5724023 ← → #5724097

Radix Representation

Decimal 5724082
Binary 10101110101011110110010 (23 bits)
Octal 0o25653662
Hexadecimal 0x5757B2

Divisor Catalog (24)

1 2 7 13 14 26 49 91 98 182 637 1,274 4,493 8,986 31,451 58,409 62,902 116,818 220,157 408,863 440,314 817,726 2,862,041 5,724,082

Collatz Trajectory (51 steps to reach 1)

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

5,724,082 2,862,041 8,586,124 4,293,062 2,146,531 6,439,594 3,219,797 9,659,392 4,829,696 2,414,848 1,207,424 603,712 301,856 150,928 75,464 37,732 18,866 9,433 28,300 14,150 7,075 21,226 10,613 31,840 15,920 7,960 3,980 1,990 995 2,986 1,493 4,480 2,240 1,120 560 280 140 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

More profiles

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