41,584,232

2³ × 5198029

41,584,232 factors as 2^3 × 5198029. Its 8 positive divisors give a proper-divisor sum of 36,386,218, so this integer is deficient. The Collatz stopping time is 103 steps.

Prime Factor Structure

Factorization String 2^3 × 5198029

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 77,970,450

Proper Divisor Sum 36,386,218

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #41584219 ← → #41584243

Radix Representation

Decimal	41584232
Binary	10011110101000011001101000 (26 bits)
Octal	0o236503150
Hexadecimal	0x27A8668

Divisor Catalog (8)

1 2 4 8 5,198,029 10,396,058 20,792,116 41,584,232

Collatz Trajectory (103 steps to reach 1)

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

41,584,232 20,792,116 10,396,058 5,198,029 15,594,088 7,797,044 3,898,522 1,949,261 5,847,784 2,923,892 1,461,946 730,973 2,192,920 1,096,460 548,230 274,115 822,346 411,173 1,233,520 616,760 308,380 154,190 77,095 231,286 115,643 346,930 173,465 520,396 260,198 130,099 390,298 195,149 585,448 292,724 146,362 73,181 219,544 109,772 54,886 27,443 82,330 41,165 123,496 61,748 30,874 15,437 46,312 23,156 11,578 5,789 17,368 8,684 4,342 2,171 6,514 3,257 9,772 4,886 2,443 7,330

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