1,832,624

2⁴ × 47 × 2437

For 1,832,624, the 20 positive divisors have a total of 3,627,744. Removing 1,832,624 leaves 1,795,120, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^4 × 47 × 2437

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 3,627,744

Proper Divisor Sum 1,795,120

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #1832561 ← → #1832629

Radix Representation

Decimal	1832624
Binary	110111111011010110000 (21 bits)
Octal	0o6773260
Hexadecimal	0x1BF6B0

Divisor Catalog (20)

1 2 4 8 16 47 94 188 376 752 2,437 4,874 9,748 19,496 38,992 114,539 229,078 458,156 916,312 1,832,624

Collatz Trajectory (57 steps to reach 1)

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

1,832,624 916,312 458,156 229,078 114,539 343,618 171,809 515,428 257,714 128,857 386,572 193,286 96,643 289,930 144,965 434,896 217,448 108,724 54,362 27,181 81,544 40,772 20,386 10,193 30,580 15,290 7,645 22,936 11,468 5,734 2,867 8,602 4,301 12,904 6,452 3,226 1,613 4,840 2,420 1,210 605 1,816 908 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

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