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2,829,648

24 × 3 × 167 × 353
Abundant Even Composite

2,829,648 factors as 2^4 × 3 × 167 × 353. Its 40 positive divisors give a proper-divisor sum of 4,544,880, so this integer is abundant. The Collatz stopping time is 50 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 167 × 353
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 7,374,528
Proper Divisor Sum 4,544,880
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #2829641 ← → #2829653

Radix Representation

Decimal 2829648
Binary 1010110010110101010000 (22 bits)
Octal 0o12626520
Hexadecimal 0x2B2D50

Divisor Catalog (40)

1 2 3 4 6 8 12 16 24 48 167 334 353 501 668 706 1,002 1,059 1,336 1,412 2,004 2,118 2,672 2,824 4,008 4,236 5,648 8,016 8,472 16,944 58,951 117,902 176,853 235,804 353,706 471,608 707,412 943,216 1,414,824 2,829,648

Collatz Trajectory (50 steps to reach 1)

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

2,829,648 1,414,824 707,412 353,706 176,853 530,560 265,280 132,640 66,320 33,160 16,580 8,290 4,145 12,436 6,218 3,109 9,328 4,664 2,332 1,166 583 1,750 875 2,626 1,313 3,940 1,970 985 2,956 1,478 739 2,218 1,109 3,328 1,664 832 416 208 104 52 26 13 40 20 10 5 16 8 4 2 1

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