3,587,241

3 × 7² × 23 × 1061

3,587,241 has digital root 3. The neighboring primes are 3587237 and 3587249; its proper-divisor sum differs from the starting integer by -1,363,218.

Prime Factor Structure

Factorization String 3 × 7^2 × 23 × 1061

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 5,811,264

Proper Divisor Sum 2,224,023

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #3587237 ← → #3587249

Radix Representation

Decimal	3587241
Binary	1101101011110010101001 (22 bits)
Octal	0o15536251
Hexadecimal	0x36BCA9

Divisor Catalog (24)

1 3 7 21 23 49 69 147 161 483 1,061 1,127 3,183 3,381 7,427 22,281 24,403 51,989 73,209 155,967 170,821 512,463 1,195,747 3,587,241

Collatz Trajectory (128 steps to reach 1)

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

3,587,241 10,761,724 5,380,862 2,690,431 8,071,294 4,035,647 12,106,942 6,053,471 18,160,414 9,080,207 27,240,622 13,620,311 40,860,934 20,430,467 61,291,402 30,645,701 91,937,104 45,968,552 22,984,276 11,492,138 5,746,069 17,238,208 8,619,104 4,309,552 2,154,776 1,077,388 538,694 269,347 808,042 404,021 1,212,064 606,032 303,016 151,508 75,754 37,877 113,632 56,816 28,408 14,204 7,102 3,551 10,654 5,327 15,982 7,991 23,974 11,987 35,962 17,981 53,944 26,972 13,486 6,743 20,230 10,115 30,346 15,173 45,520 22,760

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