λ
Integer Codex

1,582,660

22 × 5 × 79133
Abundant Even Composite

For 1,582,660, the 12 positive divisors have a total of 3,323,628. Removing 1,582,660 leaves 1,740,968, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 5 × 79133
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 3,323,628
Proper Divisor Sum 1,740,968
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #1582621 ← → #1582673

Radix Representation

Decimal 1582660
Binary 110000010011001000100 (21 bits)
Octal 0o6023104
Hexadecimal 0x182644

Divisor Catalog (12)

1 2 4 5 10 20 79,133 158,266 316,532 395,665 791,330 1,582,660

Collatz Trajectory (163 steps to reach 1)

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

1,582,660 791,330 395,665 1,186,996 593,498 296,749 890,248 445,124 222,562 111,281 333,844 166,922 83,461 250,384 125,192 62,596 31,298 15,649 46,948 23,474 11,737 35,212 17,606 8,803 26,410 13,205 39,616 19,808 9,904 4,952 2,476 1,238 619 1,858 929 2,788 1,394 697 2,092 1,046 523 1,570 785 2,356 1,178 589 1,768 884 442 221 664 332 166 83 250 125 376 188 94 47

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