λ
Integer Codex

988,464

24 × 3 × 20593
Abundant Even Composite

For 988,464, the 20 positive divisors have a total of 2,553,656. Removing 988,464 leaves 1,565,192, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^4 × 3 × 20593
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 2,553,656
Proper Divisor Sum 1,565,192
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #988459 ← → #988483

Radix Representation

Decimal 988464
Binary 11110001010100110000 (20 bits)
Octal 0o3612460
Hexadecimal 0xF1530

Divisor Catalog (20)

1 2 3 4 6 8 12 16 24 48 20,593 41,186 61,779 82,372 123,558 164,744 247,116 329,488 494,232 988,464

Collatz Trajectory (121 steps to reach 1)

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

988,464 494,232 247,116 123,558 61,779 185,338 92,669 278,008 139,004 69,502 34,751 104,254 52,127 156,382 78,191 234,574 117,287 351,862 175,931 527,794 263,897 791,692 395,846 197,923 593,770 296,885 890,656 445,328 222,664 111,332 55,666 27,833 83,500 41,750 20,875 62,626 31,313 93,940 46,970 23,485 70,456 35,228 17,614 8,807 26,422 13,211 39,634 19,817 59,452 29,726 14,863 44,590 22,295 66,886 33,443 100,330 50,165 150,496 75,248 37,624

More profiles

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