2,210,172

2² × 3 × 184181

2,210,172 factors as 2^2 × 3 × 184181. Its 12 positive divisors give a proper-divisor sum of 2,946,924, so this integer is abundant. The Collatz stopping time is 73 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 184181

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 5,157,096

Proper Divisor Sum 2,946,924

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #2210171 ← → #2210179

Radix Representation

Decimal	2210172
Binary	1000011011100101111100 (22 bits)
Octal	0o10334574
Hexadecimal	0x21B97C

Divisor Catalog (12)

1 2 3 4 6 12 184,181 368,362 552,543 736,724 1,105,086 2,210,172

Collatz Trajectory (73 steps to reach 1)

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

2,210,172 1,105,086 552,543 1,657,630 828,815 2,486,446 1,243,223 3,729,670 1,864,835 5,594,506 2,797,253 8,391,760 4,195,880 2,097,940 1,048,970 524,485 1,573,456 786,728 393,364 196,682 98,341 295,024 147,512 73,756 36,878 18,439 55,318 27,659 82,978 41,489 124,468 62,234 31,117 93,352 46,676 23,338 11,669 35,008 17,504 8,752 4,376 2,188 1,094 547 1,642 821 2,464 1,232 616 308 154 77 232 116 58 29 88 44 22 11

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