λ
Matchaa Zalai

4,976,240

24 × 5 × 17 × 3659
Abundant Even Composite

4,976,240 factors as 2^4 × 5 × 17 × 3659. Its 40 positive divisors give a proper-divisor sum of 7,277,440, so this integer is abundant. The Collatz stopping time is 69 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 17 × 3659
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 12,253,680
Proper Divisor Sum 7,277,440
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #4976203 ← → #4976263

Radix Representation

Decimal 4976240
Binary 10010111110111001110000 (23 bits)
Octal 0o22767160
Hexadecimal 0x4BEE70

Divisor Catalog (40)

1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1,360 3,659 7,318 14,636 18,295 29,272 36,590 58,544 62,203 73,180 124,406 146,360 248,812 292,720 311,015 497,624 622,030 995,248 1,244,060 2,488,120 4,976,240

Collatz Trajectory (69 steps to reach 1)

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

4,976,240 2,488,120 1,244,060 622,030 311,015 933,046 466,523 1,399,570 699,785 2,099,356 1,049,678 524,839 1,574,518 787,259 2,361,778 1,180,889 3,542,668 1,771,334 885,667 2,657,002 1,328,501 3,985,504 1,992,752 996,376 498,188 249,094 124,547 373,642 186,821 560,464 280,232 140,116 70,058 35,029 105,088 52,544 26,272 13,136 6,568 3,284 1,642 821 2,464 1,232 616 308 154 77 232 116 58 29 88 44 22 11 34 17 52 26

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