4,190,940

2² × 3⁴ × 5 × 13 × 199

4,190,940 factors as 2^2 × 3^4 × 5 × 13 × 199. Its 120 positive divisors give a proper-divisor sum of 10,038,660, so this integer is abundant. The Collatz stopping time is 136 steps.

Prime Factor Structure

Factorization String 2^2 × 3^4 × 5 × 13 × 199

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 14,229,600

Proper Divisor Sum 10,038,660

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #4190933 ← → #4190957

Radix Representation

Decimal	4190940
Binary	1111111111001011011100 (22 bits)
Octal	0o17771334
Hexadecimal	0x3FF2DC

Divisor Catalog (60 of 120)

1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 81 90 108 117 130 135 156 162 180 195 199 234 260 270 324 351 390 398 405 468 540 585 597 702 780 796 810 995 1,053 1,170 1,194 1,404 1,620 1,755 1,791 1,990

Collatz Trajectory (136 steps to reach 1)

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

4,190,940 2,095,470 1,047,735 3,143,206 1,571,603 4,714,810 2,357,405 7,072,216 3,536,108 1,768,054 884,027 2,652,082 1,326,041 3,978,124 1,989,062 994,531 2,983,594 1,491,797 4,475,392 2,237,696 1,118,848 559,424 279,712 139,856 69,928 34,964 17,482 8,741 26,224 13,112 6,556 3,278 1,639 4,918 2,459 7,378 3,689 11,068 5,534 2,767 8,302 4,151 12,454 6,227 18,682 9,341 28,024 14,012 7,006 3,503 10,510 5,255 15,766 7,883 23,650 11,825 35,476 17,738 8,869 26,608

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