λ
Integer Codex

5,979,024

24 × 32 × 41521
Abundant Even Composite

For 5,979,024, the 30 positive divisors have a total of 16,733,366. Removing 5,979,024 leaves 10,754,342, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 41521
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 16,733,366
Proper Divisor Sum 10,754,342
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #5979023 ← → #5979041

Radix Representation

Decimal 5979024
Binary 10110110011101110010000 (23 bits)
Octal 0o26635620
Hexadecimal 0x5B3B90

Divisor Catalog (30)

1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 41,521 83,042 124,563 166,084 249,126 332,168 373,689 498,252 664,336 747,378 996,504 1,494,756 1,993,008 2,989,512 5,979,024

Collatz Trajectory (258 steps to reach 1)

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

5,979,024 2,989,512 1,494,756 747,378 373,689 1,121,068 560,534 280,267 840,802 420,401 1,261,204 630,602 315,301 945,904 472,952 236,476 118,238 59,119 177,358 88,679 266,038 133,019 399,058 199,529 598,588 299,294 149,647 448,942 224,471 673,414 336,707 1,010,122 505,061 1,515,184 757,592 378,796 189,398 94,699 284,098 142,049 426,148 213,074 106,537 319,612 159,806 79,903 239,710 119,855 359,566 179,783 539,350 269,675 809,026 404,513 1,213,540 606,770 303,385 910,156 455,078 227,539

More profiles

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