125,220

2² × 3 × 5 × 2087

125,220 factors as 2^2 × 3 × 5 × 2087. Its 24 positive divisors give a proper-divisor sum of 225,564, so this integer is abundant. The Collatz stopping time is 56 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 2087

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 350,784

Proper Divisor Sum 225,564

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #125219 ← → #125221

Radix Representation

Decimal	125220
Binary	11110100100100100 (17 bits)
Octal	0o364444
Hexadecimal	0x1E924

Divisor Catalog (24)

1 2 3 4 5 6 10 12 15 20 30 60 2,087 4,174 6,261 8,348 10,435 12,522 20,870 25,044 31,305 41,740 62,610 125,220

Collatz Trajectory (56 steps to reach 1)

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

125,220 62,610 31,305 93,916 46,958 23,479 70,438 35,219 105,658 52,829 158,488 79,244 39,622 19,811 59,434 29,717 89,152 44,576 22,288 11,144 5,572 2,786 1,393 4,180 2,090 1,045 3,136 1,568 784 392 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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