968,180

2² × 5 × 48409

968,180 factors as 2^2 × 5 × 48409. Its 12 positive divisors give a proper-divisor sum of 1,065,040, so this integer is abundant. The Collatz stopping time is 214 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 48409

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 2,033,220

Proper Divisor Sum 1,065,040

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #968173 ← → #968197

Radix Representation

Decimal	968180
Binary	11101100010111110100 (20 bits)
Octal	0o3542764
Hexadecimal	0xEC5F4

Divisor Catalog (12)

1 2 4 5 10 20 48,409 96,818 193,636 242,045 484,090 968,180

Collatz Trajectory (214 steps to reach 1)

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

968,180 484,090 242,045 726,136 363,068 181,534 90,767 272,302 136,151 408,454 204,227 612,682 306,341 919,024 459,512 229,756 114,878 57,439 172,318 86,159 258,478 129,239 387,718 193,859 581,578 290,789 872,368 436,184 218,092 109,046 54,523 163,570 81,785 245,356 122,678 61,339 184,018 92,009 276,028 138,014 69,007 207,022 103,511 310,534 155,267 465,802 232,901 698,704 349,352 174,676 87,338 43,669 131,008 65,504 32,752 16,376 8,188 4,094 2,047 6,142

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