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Atlas › Integer Profiles › Node 51,179,490

51,179,490

2 × 32 × 5 × 29 × 19609
Abundant Even Composite

51,179,490 factors as 2 × 3^2 × 5 × 29 × 19609. Its 48 positive divisors give a proper-divisor sum of 86,482,710, so this integer is abundant. The Collatz stopping time is 106 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 29 × 19609
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 137,662,200
Proper Divisor Sum 86,482,710
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #51179489 ← → #51179509

Radix Representation

Decimal 51179490
Binary 11000011001110111111100010 (26 bits)
Octal 0o303167742
Hexadecimal 0x30CEFE2

Divisor Catalog (48)

1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 290 435 522 870 1,305 2,610 19,609 39,218 58,827 98,045 117,654 176,481 196,090 294,135 352,962 568,661 588,270 882,405 1,137,322 1,705,983 1,764,810 2,843,305 3,411,966 5,117,949 5,686,610 8,529,915 10,235,898 17,059,830 25,589,745 51,179,490

Collatz Trajectory (106 steps to reach 1)

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

51,179,490 25,589,745 76,769,236 38,384,618 19,192,309 57,576,928 28,788,464 14,394,232 7,197,116 3,598,558 1,799,279 5,397,838 2,698,919 8,096,758 4,048,379 12,145,138 6,072,569 18,217,708 9,108,854 4,554,427 13,663,282 6,831,641 20,494,924 10,247,462 5,123,731 15,371,194 7,685,597 23,056,792 11,528,396 5,764,198 2,882,099 8,646,298 4,323,149 12,969,448 6,484,724 3,242,362 1,621,181 4,863,544 2,431,772 1,215,886 607,943 1,823,830 911,915 2,735,746 1,367,873 4,103,620 2,051,810 1,025,905 3,077,716 1,538,858 769,429 2,308,288 1,154,144 577,072 288,536 144,268 72,134 36,067 108,202 54,101

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