48,548,740

2² × 5 × 59 × 41143

48,548,740 factors as 2^2 × 5 × 59 × 41143. Its 24 positive divisors give a proper-divisor sum of 55,134,140, so this integer is abundant. The Collatz stopping time is 111 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 59 × 41143

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 103,682,880

Proper Divisor Sum 55,134,140

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #48548729 ← → #48548749

Radix Representation

Decimal	48548740
Binary	10111001001100101110000100 (26 bits)
Octal	0o271145604
Hexadecimal	0x2E4CB84

Divisor Catalog (24)

Collatz Trajectory (111 steps to reach 1)

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

48,548,740 24,274,370 12,137,185 36,411,556 18,205,778 9,102,889 27,308,668 13,654,334 6,827,167 20,481,502 10,240,751 30,722,254 15,361,127 46,083,382 23,041,691 69,125,074 34,562,537 103,687,612 51,843,806 25,921,903 77,765,710 38,882,855 116,648,566 58,324,283 174,972,850 87,486,425 262,459,276 131,229,638 65,614,819 196,844,458 98,422,229 295,266,688 147,633,344 73,816,672 36,908,336 18,454,168 9,227,084 4,613,542 2,306,771 6,920,314 3,460,157 10,380,472 5,190,236 2,595,118 1,297,559 3,892,678 1,946,339 5,839,018 2,919,509 8,758,528 4,379,264 2,189,632 1,094,816 547,408 273,704 136,852 68,426 34,213 102,640 51,320

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