7,190,040

2³ × 3 × 5 × 11 × 13 × 419

7,190,040 factors as 2^3 × 3 × 5 × 11 × 13 × 419. Its 128 positive divisors give a proper-divisor sum of 18,211,560, so this integer is abundant. The Collatz stopping time is 142 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 11 × 13 × 419

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 128

Divisor Sum (σ) 25,401,600

Proper Divisor Sum 18,211,560

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #7190039 ← → #7190063

Radix Representation

Decimal	7190040
Binary	11011011011011000011000 (23 bits)
Octal	0o33333030
Hexadecimal	0x6DB618

Divisor Catalog (60 of 128)

1 2 3 4 5 6 8 10 11 12 13 15 20 22 24 26 30 33 39 40 44 52 55 60 65 66 78 88 104 110 120 130 132 143 156 165 195 220 260 264 286 312 330 390 419 429 440 520 572 660 715 780 838 858 1,144 1,257 1,320 1,430 1,560 1,676

Collatz Trajectory (142 steps to reach 1)

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

7,190,040 3,595,020 1,797,510 898,755 2,696,266 1,348,133 4,044,400 2,022,200 1,011,100 505,550 252,775 758,326 379,163 1,137,490 568,745 1,706,236 853,118 426,559 1,279,678 639,839 1,919,518 959,759 2,879,278 1,439,639 4,318,918 2,159,459 6,478,378 3,239,189 9,717,568 4,858,784 2,429,392 1,214,696 607,348 303,674 151,837 455,512 227,756 113,878 56,939 170,818 85,409 256,228 128,114 64,057 192,172 96,086 48,043 144,130 72,065 216,196 108,098 54,049 162,148 81,074 40,537 121,612 60,806 30,403 91,210 45,605

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