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Atlas › Integer Profiles › Node 51,459,996

51,459,996

22 × 3 × 72 × 87517
Abundant Even Composite

51,459,996 factors as 2^2 × 3 × 7^2 × 87517. Its 36 positive divisors give a proper-divisor sum of 88,218,732, so this integer is abundant. The Collatz stopping time is 181 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 7^2 × 87517
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 139,678,728
Proper Divisor Sum 88,218,732
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #51459931 ← → #51459997

Radix Representation

Decimal 51459996
Binary 11000100010011011110011100 (26 bits)
Octal 0o304233634
Hexadecimal 0x311379C

Divisor Catalog (36)

1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 87,517 175,034 262,551 350,068 525,102 612,619 1,050,204 1,225,238 1,837,857 2,450,476 3,675,714 4,288,333 7,351,428 8,576,666 12,864,999 17,153,332 25,729,998 51,459,996

Collatz Trajectory (181 steps to reach 1)

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

51,459,996 25,729,998 12,864,999 38,594,998 19,297,499 57,892,498 28,946,249 86,838,748 43,419,374 21,709,687 65,129,062 32,564,531 97,693,594 48,846,797 146,540,392 73,270,196 36,635,098 18,317,549 54,952,648 27,476,324 13,738,162 6,869,081 20,607,244 10,303,622 5,151,811 15,455,434 7,727,717 23,183,152 11,591,576 5,795,788 2,897,894 1,448,947 4,346,842 2,173,421 6,520,264 3,260,132 1,630,066 815,033 2,445,100 1,222,550 611,275 1,833,826 916,913 2,750,740 1,375,370 687,685 2,063,056 1,031,528 515,764 257,882 128,941 386,824 193,412 96,706 48,353 145,060 72,530 36,265 108,796 54,398

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