2,889,780

2² × 3 × 5 × 48163

2,889,780 factors as 2^2 × 3 × 5 × 48163. Its 24 positive divisors give a proper-divisor sum of 5,201,772, so this integer is abundant. The Collatz stopping time is 213 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 48163

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 8,091,552

Proper Divisor Sum 5,201,772

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #2889769 ← → #2889781

Radix Representation

Decimal	2889780
Binary	1011000001100000110100 (22 bits)
Octal	0o13014064
Hexadecimal	0x2C1834

Divisor Catalog (24)

Collatz Trajectory (213 steps to reach 1)

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

2,889,780 1,444,890 722,445 2,167,336 1,083,668 541,834 270,917 812,752 406,376 203,188 101,594 50,797 152,392 76,196 38,098 19,049 57,148 28,574 14,287 42,862 21,431 64,294 32,147 96,442 48,221 144,664 72,332 36,166 18,083 54,250 27,125 81,376 40,688 20,344 10,172 5,086 2,543 7,630 3,815 11,446 5,723 17,170 8,585 25,756 12,878 6,439 19,318 9,659 28,978 14,489 43,468 21,734 10,867 32,602 16,301 48,904 24,452 12,226 6,113 18,340

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