48,578,980

2² × 5 × 101 × 24049

48,578,980 factors as 2^2 × 5 × 101 × 24049. Its 24 positive divisors give a proper-divisor sum of 54,451,220, so this integer is abundant. The Collatz stopping time is 93 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 101 × 24049

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 103,030,200

Proper Divisor Sum 54,451,220

Digit Sum / Digital Root 49 (Root: 4)

Adjacent Primes #48578977 ← → #48578983

Radix Representation

Decimal	48578980
Binary	10111001010100000110100100 (26 bits)
Octal	0o271240644
Hexadecimal	0x2E541A4

Divisor Catalog (24)

Collatz Trajectory (93 steps to reach 1)

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

48,578,980 24,289,490 12,144,745 36,434,236 18,217,118 9,108,559 27,325,678 13,662,839 40,988,518 20,494,259 61,482,778 30,741,389 92,224,168 46,112,084 23,056,042 11,528,021 34,584,064 17,292,032 8,646,016 4,323,008 2,161,504 1,080,752 540,376 270,188 135,094 67,547 202,642 101,321 303,964 151,982 75,991 227,974 113,987 341,962 170,981 512,944 256,472 128,236 64,118 32,059 96,178 48,089 144,268 72,134 36,067 108,202 54,101 162,304 81,152 40,576 20,288 10,144 5,072 2,536 1,268 634 317 952 476 238

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