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Atlas › Integer Profiles › Node 6,103,422

6,103,422

2 × 32 × 13 × 26083
Abundant Even Composite

6,103,422 factors as 2 × 3^2 × 13 × 26083. Its 24 positive divisors give a proper-divisor sum of 8,138,442, so this integer is abundant. The Collatz stopping time is 183 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 13 × 26083
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 14,241,864
Proper Divisor Sum 8,138,442
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #6103403 ← → #6103423

Radix Representation

Decimal 6103422
Binary 10111010010000101111110 (23 bits)
Octal 0o27220576
Hexadecimal 0x5D217E

Divisor Catalog (24)

1 2 3 6 9 13 18 26 39 78 117 234 26,083 52,166 78,249 156,498 234,747 339,079 469,494 678,158 1,017,237 2,034,474 3,051,711 6,103,422

Collatz Trajectory (183 steps to reach 1)

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

6,103,422 3,051,711 9,155,134 4,577,567 13,732,702 6,866,351 20,599,054 10,299,527 30,898,582 15,449,291 46,347,874 23,173,937 69,521,812 34,760,906 17,380,453 52,141,360 26,070,680 13,035,340 6,517,670 3,258,835 9,776,506 4,888,253 14,664,760 7,332,380 3,666,190 1,833,095 5,499,286 2,749,643 8,248,930 4,124,465 12,373,396 6,186,698 3,093,349 9,280,048 4,640,024 2,320,012 1,160,006 580,003 1,740,010 870,005 2,610,016 1,305,008 652,504 326,252 163,126 81,563 244,690 122,345 367,036 183,518 91,759 275,278 137,639 412,918 206,459 619,378 309,689 929,068 464,534 232,267

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