λ
Match Zalai

2,543,148

22 × 32 × 41 × 1723
Abundant Even Composite

2,543,148 factors as 2^2 × 3^2 × 41 × 1723. Its 36 positive divisors give a proper-divisor sum of 4,045,980, so this integer is abundant. The Collatz stopping time is 130 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 41 × 1723
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 6,589,128
Proper Divisor Sum 4,045,980
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2543143 ← → #2543153

Radix Representation

Decimal 2543148
Binary 1001101100111000101100 (22 bits)
Octal 0o11547054
Hexadecimal 0x26CE2C

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1,476 1,723 3,446 5,169 6,892 10,338 15,507 20,676 31,014 62,028 70,643 141,286 211,929 282,572 423,858 635,787 847,716 1,271,574 2,543,148

Collatz Trajectory (130 steps to reach 1)

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

2,543,148 1,271,574 635,787 1,907,362 953,681 2,861,044 1,430,522 715,261 2,145,784 1,072,892 536,446 268,223 804,670 402,335 1,207,006 603,503 1,810,510 905,255 2,715,766 1,357,883 4,073,650 2,036,825 6,110,476 3,055,238 1,527,619 4,582,858 2,291,429 6,874,288 3,437,144 1,718,572 859,286 429,643 1,288,930 644,465 1,933,396 966,698 483,349 1,450,048 725,024 362,512 181,256 90,628 45,314 22,657 67,972 33,986 16,993 50,980 25,490 12,745 38,236 19,118 9,559 28,678 14,339 43,018 21,509 64,528 32,264 16,132

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