48,027,512

2³ × 13 × 461803

48,027,512 factors as 2^3 × 13 × 461803. Its 16 positive divisors give a proper-divisor sum of 48,951,328, so this integer is abundant. The Collatz stopping time is 204 steps.

Prime Factor Structure

Factorization String 2^3 × 13 × 461803

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 96,978,840

Proper Divisor Sum 48,951,328

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #48027493 ← → #48027521

Radix Representation

Decimal	48027512
Binary	10110111001101011101111000 (26 bits)
Octal	0o267153570
Hexadecimal	0x2DCD778

Divisor Catalog (16)

1 2 4 8 13 26 52 104 461,803 923,606 1,847,212 3,694,424 6,003,439 12,006,878 24,013,756 48,027,512

Collatz Trajectory (204 steps to reach 1)

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

48,027,512 24,013,756 12,006,878 6,003,439 18,010,318 9,005,159 27,015,478 13,507,739 40,523,218 20,261,609 60,784,828 30,392,414 15,196,207 45,588,622 22,794,311 68,382,934 34,191,467 102,574,402 51,287,201 153,861,604 76,930,802 38,465,401 115,396,204 57,698,102 28,849,051 86,547,154 43,273,577 129,820,732 64,910,366 32,455,183 97,365,550 48,682,775 146,048,326 73,024,163 219,072,490 109,536,245 328,608,736 164,304,368 82,152,184 41,076,092 20,538,046 10,269,023 30,807,070 15,403,535 46,210,606 23,105,303 69,315,910 34,657,955 103,973,866 51,986,933 155,960,800 77,980,400 38,990,200 19,495,100 9,747,550 4,873,775 14,621,326 7,310,663 21,931,990 10,965,995

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