λ
Integer Codex

2,488,576

28 × 9721
Deficient Even Composite

For 2,488,576, the 18 positive divisors have a total of 4,967,942. Removing 2,488,576 leaves 2,479,366, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^8 × 9721
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 4,967,942
Proper Divisor Sum 2,479,366
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #2488573 ← → #2488597

Radix Representation

Decimal 2488576
Binary 1001011111100100000000 (22 bits)
Octal 0o11374400
Hexadecimal 0x25F900

Divisor Catalog (18)

1 2 4 8 16 32 64 128 256 9,721 19,442 38,884 77,768 155,536 311,072 622,144 1,244,288 2,488,576

Collatz Trajectory (174 steps to reach 1)

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

2,488,576 1,244,288 622,144 311,072 155,536 77,768 38,884 19,442 9,721 29,164 14,582 7,291 21,874 10,937 32,812 16,406 8,203 24,610 12,305 36,916 18,458 9,229 27,688 13,844 6,922 3,461 10,384 5,192 2,596 1,298 649 1,948 974 487 1,462 731 2,194 1,097 3,292 1,646 823 2,470 1,235 3,706 1,853 5,560 2,780 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644

More profiles

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