λ
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4,094,960

24 × 5 × 17 × 3011
Abundant Even Composite

4,094,960 factors as 2^4 × 5 × 17 × 3011. Its 40 positive divisors give a proper-divisor sum of 5,989,216, so this integer is abundant. The Collatz stopping time is 198 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 17 × 3011
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 10,084,176
Proper Divisor Sum 5,989,216
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #4094953 ← → #4094999

Radix Representation

Decimal 4094960
Binary 1111100111101111110000 (22 bits)
Octal 0o17475760
Hexadecimal 0x3E7BF0

Divisor Catalog (40)

1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1,360 3,011 6,022 12,044 15,055 24,088 30,110 48,176 51,187 60,220 102,374 120,440 204,748 240,880 255,935 409,496 511,870 818,992 1,023,740 2,047,480 4,094,960

Collatz Trajectory (198 steps to reach 1)

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

4,094,960 2,047,480 1,023,740 511,870 255,935 767,806 383,903 1,151,710 575,855 1,727,566 863,783 2,591,350 1,295,675 3,887,026 1,943,513 5,830,540 2,915,270 1,457,635 4,372,906 2,186,453 6,559,360 3,279,680 1,639,840 819,920 409,960 204,980 102,490 51,245 153,736 76,868 38,434 19,217 57,652 28,826 14,413 43,240 21,620 10,810 5,405 16,216 8,108 4,054 2,027 6,082 3,041 9,124 4,562 2,281 6,844 3,422 1,711 5,134 2,567 7,702 3,851 11,554 5,777 17,332 8,666 4,333

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