λ
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Atlas › Integer Profiles › Node 48,969,843

48,969,843

3 × 13 × 17 × 233 × 317
Deficient Odd Composite

48,969,843 factors as 3 × 13 × 17 × 233 × 317. Its 32 positive divisors give a proper-divisor sum of 26,037,453, so this integer is deficient. The Collatz stopping time is 199 steps.

Prime Factor Structure

Factorization String 3 × 13 × 17 × 233 × 317
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 75,007,296
Proper Divisor Sum 26,037,453
Digit Sum / Digital Root 51 (Root: 6)
Adjacent Primes #48969841 ← → #48969871

Radix Representation

Decimal 48969843
Binary 10111010110011100001110011 (26 bits)
Octal 0o272634163
Hexadecimal 0x2EB3873

Divisor Catalog (32)

1 3 13 17 39 51 221 233 317 663 699 951 3,029 3,961 4,121 5,389 9,087 11,883 12,363 16,167 51,493 70,057 73,861 154,479 210,171 221,583 960,193 1,255,637 2,880,579 3,766,911 16,323,281 48,969,843

Collatz Trajectory (199 steps to reach 1)

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

48,969,843 146,909,530 73,454,765 220,364,296 110,182,148 55,091,074 27,545,537 82,636,612 41,318,306 20,659,153 61,977,460 30,988,730 15,494,365 46,483,096 23,241,548 11,620,774 5,810,387 17,431,162 8,715,581 26,146,744 13,073,372 6,536,686 3,268,343 9,805,030 4,902,515 14,707,546 7,353,773 22,061,320 11,030,660 5,515,330 2,757,665 8,272,996 4,136,498 2,068,249 6,204,748 3,102,374 1,551,187 4,653,562 2,326,781 6,980,344 3,490,172 1,745,086 872,543 2,617,630 1,308,815 3,926,446 1,963,223 5,889,670 2,944,835 8,834,506 4,417,253 13,251,760 6,625,880 3,312,940 1,656,470 828,235 2,484,706 1,242,353 3,727,060 1,863,530

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