48,121,180

2² × 5 × 859 × 2801

48,121,180 factors as 2^2 × 5 × 859 × 2801. Its 24 positive divisors give a proper-divisor sum of 53,087,060, so this integer is abundant. The Collatz stopping time is 217 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 859 × 2801

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 101,208,240

Proper Divisor Sum 53,087,060

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #48121109 ← → #48121181

Radix Representation

Decimal	48121180
Binary	10110111100100010101011100 (26 bits)
Octal	0o267442534
Hexadecimal	0x2DE455C

Divisor Catalog (24)

Collatz Trajectory (217 steps to reach 1)

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

48,121,180 24,060,590 12,030,295 36,090,886 18,045,443 54,136,330 27,068,165 81,204,496 40,602,248 20,301,124 10,150,562 5,075,281 15,225,844 7,612,922 3,806,461 11,419,384 5,709,692 2,854,846 1,427,423 4,282,270 2,141,135 6,423,406 3,211,703 9,635,110 4,817,555 14,452,666 7,226,333 21,679,000 10,839,500 5,419,750 2,709,875 8,129,626 4,064,813 12,194,440 6,097,220 3,048,610 1,524,305 4,572,916 2,286,458 1,143,229 3,429,688 1,714,844 857,422 428,711 1,286,134 643,067 1,929,202 964,601 2,893,804 1,446,902 723,451 2,170,354 1,085,177 3,255,532 1,627,766 813,883 2,441,650 1,220,825 3,662,476 1,831,238

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