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11,624,610

2 × 3 × 5 × 449 × 863
Abundant Even Composite

11,624,610 factors as 2 × 3 × 5 × 449 × 863. Its 32 positive divisors give a proper-divisor sum of 16,368,990, so this integer is abundant. The Collatz stopping time is 171 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 449 × 863
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 27,993,600
Proper Divisor Sum 16,368,990
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #11624609 ← → #11624611

Radix Representation

Decimal 11624610
Binary 101100010110000010100010 (24 bits)
Octal 0o54260242
Hexadecimal 0xB160A2

Divisor Catalog (32)

1 2 3 5 6 10 15 30 449 863 898 1,347 1,726 2,245 2,589 2,694 4,315 4,490 5,178 6,735 8,630 12,945 13,470 25,890 387,487 774,974 1,162,461 1,937,435 2,324,922 3,874,870 5,812,305 11,624,610

Collatz Trajectory (171 steps to reach 1)

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

11,624,610 5,812,305 17,436,916 8,718,458 4,359,229 13,077,688 6,538,844 3,269,422 1,634,711 4,904,134 2,452,067 7,356,202 3,678,101 11,034,304 5,517,152 2,758,576 1,379,288 689,644 344,822 172,411 517,234 258,617 775,852 387,926 193,963 581,890 290,945 872,836 436,418 218,209 654,628 327,314 163,657 490,972 245,486 122,743 368,230 184,115 552,346 276,173 828,520 414,260 207,130 103,565 310,696 155,348 77,674 38,837 116,512 58,256 29,128 14,564 7,282 3,641 10,924 5,462 2,731 8,194 4,097 12,292

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