λ
Ratio Atlas

48,385,583

23 × 113 × 18617
Deficient Odd Composite

48,385,583 factors as 23 × 113 × 18617. Its 8 positive divisors give a proper-divisor sum of 2,553,265, so this integer is deficient. The Collatz stopping time is 199 steps.

Prime Factor Structure

Factorization String 23 × 113 × 18617
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 50,938,848
Proper Divisor Sum 2,553,265
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #48385573 ← → #48385613

Radix Representation

Decimal 48385583
Binary 10111000100100111000101111 (26 bits)
Octal 0o270447057
Hexadecimal 0x2E24E2F

Divisor Catalog (8)

Collatz Trajectory (199 steps to reach 1)

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

48,385,583 145,156,750 72,578,375 217,735,126 108,867,563 326,602,690 163,301,345 489,904,036 244,952,018 122,476,009 367,428,028 183,714,014 91,857,007 275,571,022 137,785,511 413,356,534 206,678,267 620,034,802 310,017,401 930,052,204 465,026,102 232,513,051 697,539,154 348,769,577 1,046,308,732 523,154,366 261,577,183 784,731,550 392,365,775 1,177,097,326 588,548,663 1,765,645,990 882,822,995 2,648,468,986 1,324,234,493 3,972,703,480 1,986,351,740 993,175,870 496,587,935 1,489,763,806 744,881,903 2,234,645,710 1,117,322,855 3,351,968,566 1,675,984,283 5,027,952,850 2,513,976,425 7,541,929,276 3,770,964,638 1,885,482,319 5,656,446,958 2,828,223,479 8,484,670,438 4,242,335,219 12,727,005,658 6,363,502,829 19,090,508,488 9,545,254,244 4,772,627,122 2,386,313,561

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