λ
Integer Codex

5,828,024

23 × 173 × 4211
Deficient Even Composite

For 5,828,024, the 16 positive divisors have a total of 10,993,320. Removing 5,828,024 leaves 5,165,296, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^3 × 173 × 4211
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 10,993,320
Proper Divisor Sum 5,165,296
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #5828023 ← → #5828033

Radix Representation

Decimal 5828024
Binary 10110001110110110111000 (23 bits)
Octal 0o26166670
Hexadecimal 0x58EDB8

Divisor Catalog (16)

1 2 4 8 173 346 692 1,384 4,211 8,422 16,844 33,688 728,503 1,457,006 2,914,012 5,828,024

Collatz Trajectory (214 steps to reach 1)

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

5,828,024 2,914,012 1,457,006 728,503 2,185,510 1,092,755 3,278,266 1,639,133 4,917,400 2,458,700 1,229,350 614,675 1,844,026 922,013 2,766,040 1,383,020 691,510 345,755 1,037,266 518,633 1,555,900 777,950 388,975 1,166,926 583,463 1,750,390 875,195 2,625,586 1,312,793 3,938,380 1,969,190 984,595 2,953,786 1,476,893 4,430,680 2,215,340 1,107,670 553,835 1,661,506 830,753 2,492,260 1,246,130 623,065 1,869,196 934,598 467,299 1,401,898 700,949 2,102,848 1,051,424 525,712 262,856 131,428 65,714 32,857 98,572 49,286 24,643 73,930 36,965

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