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2,321,827

23 × 29 × 592
Deficient Odd Composite

2,321,827 factors as 23 × 29 × 59^2. Its 12 positive divisors give a proper-divisor sum of 227,693, so this integer is deficient. The Collatz stopping time is 47 steps.

Prime Factor Structure

Factorization String 23 × 29 × 59^2
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 2,549,520
Proper Divisor Sum 227,693
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #2321821 ← → #2321863

Radix Representation

Decimal 2321827
Binary 1000110110110110100011 (22 bits)
Octal 0o10666643
Hexadecimal 0x236DA3

Divisor Catalog (12)

1 23 29 59 667 1,357 1,711 3,481 39,353 80,063 100,949 2,321,827

Collatz Trajectory (47 steps to reach 1)

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

2,321,827 6,965,482 3,482,741 10,448,224 5,224,112 2,612,056 1,306,028 653,014 326,507 979,522 489,761 1,469,284 734,642 367,321 1,101,964 550,982 275,491 826,474 413,237 1,239,712 619,856 309,928 154,964 77,482 38,741 116,224 58,112 29,056 14,528 7,264 3,632 1,816 908 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

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