3,958,587

3² × 29² × 523

3,958,587 factors as 3^2 × 29^2 × 523. Its 18 positive divisors give a proper-divisor sum of 1,974,665, so this integer is deficient. The Collatz stopping time is 216 steps.

Prime Factor Structure

Factorization String 3^2 × 29^2 × 523

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 5,933,252

Proper Divisor Sum 1,974,665

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #3958583 ← → #3958589

Radix Representation

Decimal	3958587
Binary	1111000110011100111011 (22 bits)
Octal	0o17063473
Hexadecimal	0x3C673B

Divisor Catalog (18)

1 3 9 29 87 261 523 841 1,569 2,523 4,707 7,569 15,167 45,501 136,503 439,843 1,319,529 3,958,587

Collatz Trajectory (216 steps to reach 1)

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

3,958,587 11,875,762 5,937,881 17,813,644 8,906,822 4,453,411 13,360,234 6,680,117 20,040,352 10,020,176 5,010,088 2,505,044 1,252,522 626,261 1,878,784 939,392 469,696 234,848 117,424 58,712 29,356 14,678 7,339 22,018 11,009 33,028 16,514 8,257 24,772 12,386 6,193 18,580 9,290 4,645 13,936 6,968 3,484 1,742 871 2,614 1,307 3,922 1,961 5,884 2,942 1,471 4,414 2,207 6,622 3,311 9,934 4,967 14,902 7,451 22,354 11,177 33,532 16,766 8,383 25,150

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