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3,486,010

2 × 5 × 112 × 43 × 67
Abundant Even Composite

3,486,010 factors as 2 × 5 × 11^2 × 43 × 67. Its 48 positive divisors give a proper-divisor sum of 3,676,838, so this integer is abundant. The Collatz stopping time is 190 steps.

Prime Factor Structure

Factorization String 2 × 5 × 11^2 × 43 × 67
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 7,162,848
Proper Divisor Sum 3,676,838
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #3485983 ← → #3486013

Radix Representation

Decimal 3486010
Binary 1101010011000100111010 (22 bits)
Octal 0o15230472
Hexadecimal 0x35313A

Divisor Catalog (48)

1 2 5 10 11 22 43 55 67 86 110 121 134 215 242 335 430 473 605 670 737 946 1,210 1,474 2,365 2,881 3,685 4,730 5,203 5,762 7,370 8,107 10,406 14,405 16,214 26,015 28,810 31,691 40,535 52,030 63,382 81,070 158,455 316,910 348,601 697,202 1,743,005 3,486,010

Collatz Trajectory (190 steps to reach 1)

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

3,486,010 1,743,005 5,229,016 2,614,508 1,307,254 653,627 1,960,882 980,441 2,941,324 1,470,662 735,331 2,205,994 1,102,997 3,308,992 1,654,496 827,248 413,624 206,812 103,406 51,703 155,110 77,555 232,666 116,333 349,000 174,500 87,250 43,625 130,876 65,438 32,719 98,158 49,079 147,238 73,619 220,858 110,429 331,288 165,644 82,822 41,411 124,234 62,117 186,352 93,176 46,588 23,294 11,647 34,942 17,471 52,414 26,207 78,622 39,311 117,934 58,967 176,902 88,451 265,354 132,677

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