λ
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6,241,040

24 × 5 × 13 × 17 × 353
Abundant Even Composite

6,241,040 factors as 2^4 × 5 × 13 × 17 × 353. Its 80 positive divisors give a proper-divisor sum of 10,351,648, so this integer is abundant. The Collatz stopping time is 72 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 13 × 17 × 353
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 16,592,688
Proper Divisor Sum 10,351,648
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #6241033 ← → #6241043

Radix Representation

Decimal 6241040
Binary 10111110011101100010000 (23 bits)
Octal 0o27635420
Hexadecimal 0x5F3B10

Divisor Catalog (60 of 80)

1 2 4 5 8 10 13 16 17 20 26 34 40 52 65 68 80 85 104 130 136 170 208 221 260 272 340 353 442 520 680 706 884 1,040 1,105 1,360 1,412 1,765 1,768 2,210 2,824 3,530 3,536 4,420 4,589 5,648 6,001 7,060 8,840 9,178 12,002 14,120 17,680 18,356 22,945 24,004 28,240 30,005 36,712 45,890

Collatz Trajectory (72 steps to reach 1)

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

6,241,040 3,120,520 1,560,260 780,130 390,065 1,170,196 585,098 292,549 877,648 438,824 219,412 109,706 54,853 164,560 82,280 41,140 20,570 10,285 30,856 15,428 7,714 3,857 11,572 5,786 2,893 8,680 4,340 2,170 1,085 3,256 1,628 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34

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