λ
Ratio Atlas

48,720,893

13 × 3747761
Deficient Odd Composite

48,720,893 factors as 13 × 3747761. Its 4 positive divisors give a proper-divisor sum of 3,747,775, so this integer is deficient. The Collatz stopping time is 142 steps.

Prime Factor Structure

Factorization String 13 × 3747761
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 52,468,668
Proper Divisor Sum 3,747,775
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #48720851 ← → #48720907

Radix Representation

Decimal 48720893
Binary 10111001110110101111111101 (26 bits)
Octal 0o271665775
Hexadecimal 0x2E76BFD

Divisor Catalog (4)

Collatz Trajectory (142 steps to reach 1)

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

48,720,893 146,162,680 73,081,340 36,540,670 18,270,335 54,811,006 27,405,503 82,216,510 41,108,255 123,324,766 61,662,383 184,987,150 92,493,575 277,480,726 138,740,363 416,221,090 208,110,545 624,331,636 312,165,818 156,082,909 468,248,728 234,124,364 117,062,182 58,531,091 175,593,274 87,796,637 263,389,912 131,694,956 65,847,478 32,923,739 98,771,218 49,385,609 148,156,828 74,078,414 37,039,207 111,117,622 55,558,811 166,676,434 83,338,217 250,014,652 125,007,326 62,503,663 187,510,990 93,755,495 281,266,486 140,633,243 421,899,730 210,949,865 632,849,596 316,424,798 158,212,399 474,637,198 237,318,599 711,955,798 355,977,899 1,067,933,698 533,966,849 1,601,900,548 800,950,274 400,475,137

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