λ
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2,454,284

22 × 7 × 23 × 37 × 103
Abundant Even Composite

2,454,284 factors as 2^2 × 7 × 23 × 37 × 103. Its 48 positive divisors give a proper-divisor sum of 2,857,204, so this integer is abundant. The Collatz stopping time is 143 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 23 × 37 × 103
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 5,311,488
Proper Divisor Sum 2,857,204
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #2454281 ← → #2454289

Radix Representation

Decimal 2454284
Binary 1001010111001100001100 (22 bits)
Octal 0o11271414
Hexadecimal 0x25730C

Divisor Catalog (48)

1 2 4 7 14 23 28 37 46 74 92 103 148 161 206 259 322 412 518 644 721 851 1,036 1,442 1,702 2,369 2,884 3,404 3,811 4,738 5,957 7,622 9,476 11,914 15,244 16,583 23,828 26,677 33,166 53,354 66,332 87,653 106,708 175,306 350,612 613,571 1,227,142 2,454,284

Collatz Trajectory (143 steps to reach 1)

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

2,454,284 1,227,142 613,571 1,840,714 920,357 2,761,072 1,380,536 690,268 345,134 172,567 517,702 258,851 776,554 388,277 1,164,832 582,416 291,208 145,604 72,802 36,401 109,204 54,602 27,301 81,904 40,952 20,476 10,238 5,119 15,358 7,679 23,038 11,519 34,558 17,279 51,838 25,919 77,758 38,879 116,638 58,319 174,958 87,479 262,438 131,219 393,658 196,829 590,488 295,244 147,622 73,811 221,434 110,717 332,152 166,076 83,038 41,519 124,558 62,279 186,838 93,419

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