48,752,874

2 × 3³ × 823 × 1097

48,752,874 factors as 2 × 3^3 × 823 × 1097. Its 32 positive divisors give a proper-divisor sum of 59,817,366, so this integer is abundant. The Collatz stopping time is 93 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 823 × 1097

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 108,570,240

Proper Divisor Sum 59,817,366

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #48752867 ← → #48752881

Radix Representation

Decimal	48752874
Binary	10111001111110100011101010 (26 bits)
Octal	0o271764352
Hexadecimal	0x2E7E8EA

Divisor Catalog (32)

Collatz Trajectory (93 steps to reach 1)

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

48,752,874 24,376,437 73,129,312 36,564,656 18,282,328 9,141,164 4,570,582 2,285,291 6,855,874 3,427,937 10,283,812 5,141,906 2,570,953 7,712,860 3,856,430 1,928,215 5,784,646 2,892,323 8,676,970 4,338,485 13,015,456 6,507,728 3,253,864 1,626,932 813,466 406,733 1,220,200 610,100 305,050 152,525 457,576 228,788 114,394 57,197 171,592 85,796 42,898 21,449 64,348 32,174 16,087 48,262 24,131 72,394 36,197 108,592 54,296 27,148 13,574 6,787 20,362 10,181 30,544 15,272 7,636 3,818 1,909 5,728 2,864 1,432

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