λ
Integer Codex

1,334,832

24 × 3 × 27809
Abundant Even Composite

For 1,334,832, the 20 positive divisors have a total of 3,448,440. Removing 1,334,832 leaves 2,113,608, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^4 × 3 × 27809
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 3,448,440
Proper Divisor Sum 2,113,608
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #1334819 ← → #1334833

Radix Representation

Decimal 1334832
Binary 101000101111000110000 (21 bits)
Octal 0o5057060
Hexadecimal 0x145E30

Divisor Catalog (20)

1 2 3 4 6 8 12 16 24 48 27,809 55,618 83,427 111,236 166,854 222,472 333,708 444,944 667,416 1,334,832

Collatz Trajectory (111 steps to reach 1)

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

1,334,832 667,416 333,708 166,854 83,427 250,282 125,141 375,424 187,712 93,856 46,928 23,464 11,732 5,866 2,933 8,800 4,400 2,200 1,100 550 275 826 413 1,240 620 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438

More profiles

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