41,579,008

2⁹ × 17² × 281

41,579,008 factors as 2^9 × 17^2 × 281. Its 60 positive divisors give a proper-divisor sum of 46,986,194, so this integer is abundant. The Collatz stopping time is 72 steps.

Prime Factor Structure

Factorization String 2^9 × 17^2 × 281

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 88,565,202

Proper Divisor Sum 46,986,194

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #41578997 ← → #41579033

Radix Representation

Decimal	41579008
Binary	10011110100111001000000000 (26 bits)
Octal	0o236471000
Hexadecimal	0x27A7200

Divisor Catalog (60)

1 2 4 8 16 17 32 34 64 68 128 136 256 272 281 289 512 544 562 578 1,088 1,124 1,156 2,176 2,248 2,312 4,352 4,496 4,624 4,777 8,704 8,992 9,248 9,554 17,984 18,496 19,108 35,968 36,992 38,216 71,936 73,984 76,432 81,209 143,872 147,968 152,864 162,418 305,728 324,836 611,456 649,672 1,222,912 1,299,344 2,445,824 2,598,688 5,197,376 10,394,752 20,789,504 41,579,008

Collatz Trajectory (72 steps to reach 1)

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

41,579,008 20,789,504 10,394,752 5,197,376 2,598,688 1,299,344 649,672 324,836 162,418 81,209 243,628 121,814 60,907 182,722 91,361 274,084 137,042 68,521 205,564 102,782 51,391 154,174 77,087 231,262 115,631 346,894 173,447 520,342 260,171 780,514 390,257 1,170,772 585,386 292,693 878,080 439,040 219,520 109,760 54,880 27,440 13,720 6,860 3,430 1,715 5,146 2,573 7,720 3,860 1,930 965 2,896 1,448 724 362 181 544 272 136 68 34

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