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2,741,920

25 × 5 × 17137
Abundant Even Composite

2,741,920 factors as 2^5 × 5 × 17137. Its 24 positive divisors give a proper-divisor sum of 3,736,244, so this integer is abundant. The Collatz stopping time is 107 steps.

Prime Factor Structure

Factorization String 2^5 × 5 × 17137
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,478,164
Proper Divisor Sum 3,736,244
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #2741903 ← → #2741927

Radix Representation

Decimal 2741920
Binary 1010011101011010100000 (22 bits)
Octal 0o12353240
Hexadecimal 0x29D6A0

Divisor Catalog (24)

1 2 4 5 8 10 16 20 32 40 80 160 17,137 34,274 68,548 85,685 137,096 171,370 274,192 342,740 548,384 685,480 1,370,960 2,741,920

Collatz Trajectory (107 steps to reach 1)

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

2,741,920 1,370,960 685,480 342,740 171,370 85,685 257,056 128,528 64,264 32,132 16,066 8,033 24,100 12,050 6,025 18,076 9,038 4,519 13,558 6,779 20,338 10,169 30,508 15,254 7,627 22,882 11,441 34,324 17,162 8,581 25,744 12,872 6,436 3,218 1,609 4,828 2,414 1,207 3,622 1,811 5,434 2,717 8,152 4,076 2,038 1,019 3,058 1,529 4,588 2,294 1,147 3,442 1,721 5,164 2,582 1,291 3,874 1,937 5,812 2,906

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