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Atlas › Integer Profiles › Node 59,080,344

59,080,344

23 × 3 × 41 × 60041
Abundant Even Composite

59,080,344 factors as 2^3 × 3 × 41 × 60041. Its 32 positive divisors give a proper-divisor sum of 92,225,496, so this integer is abundant. The Collatz stopping time is 168 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 41 × 60041
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 151,305,840
Proper Divisor Sum 92,225,496
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #59080331 ← → #59080381

Radix Representation

Decimal 59080344
Binary 11100001010111111010011000 (26 bits)
Octal 0o341277230
Hexadecimal 0x3857E98

Divisor Catalog (32)

1 2 3 4 6 8 12 24 41 82 123 164 246 328 492 984 60,041 120,082 180,123 240,164 360,246 480,328 720,492 1,440,984 2,461,681 4,923,362 7,385,043 9,846,724 14,770,086 19,693,448 29,540,172 59,080,344

Collatz Trajectory (168 steps to reach 1)

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

59,080,344 29,540,172 14,770,086 7,385,043 22,155,130 11,077,565 33,232,696 16,616,348 8,308,174 4,154,087 12,462,262 6,231,131 18,693,394 9,346,697 28,040,092 14,020,046 7,010,023 21,030,070 10,515,035 31,545,106 15,772,553 47,317,660 23,658,830 11,829,415 35,488,246 17,744,123 53,232,370 26,616,185 79,848,556 39,924,278 19,962,139 59,886,418 29,943,209 89,829,628 44,914,814 22,457,407 67,372,222 33,686,111 101,058,334 50,529,167 151,587,502 75,793,751 227,381,254 113,690,627 341,071,882 170,535,941 511,607,824 255,803,912 127,901,956 63,950,978 31,975,489 95,926,468 47,963,234 23,981,617 71,944,852 35,972,426 17,986,213 53,958,640 26,979,320 13,489,660

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