2,828,076

2² × 3 × 235673

2,828,076 factors as 2^2 × 3 × 235673. Its 12 positive divisors give a proper-divisor sum of 3,770,796, so this integer is abundant. The Collatz stopping time is 169 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 235673

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,598,872

Proper Divisor Sum 3,770,796

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #2828053 ← → #2828083

Radix Representation

Decimal	2828076
Binary	1010110010011100101100 (22 bits)
Octal	0o12623454
Hexadecimal	0x2B272C

Divisor Catalog (12)

1 2 3 4 6 12 235,673 471,346 707,019 942,692 1,414,038 2,828,076

Collatz Trajectory (169 steps to reach 1)

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

2,828,076 1,414,038 707,019 2,121,058 1,060,529 3,181,588 1,590,794 795,397 2,386,192 1,193,096 596,548 298,274 149,137 447,412 223,706 111,853 335,560 167,780 83,890 41,945 125,836 62,918 31,459 94,378 47,189 141,568 70,784 35,392 17,696 8,848 4,424 2,212 1,106 553 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108 3,554 1,777 5,332 2,666 1,333 4,000 2,000 1,000 500

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