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3,102,200

23 × 52 × 15511
Abundant Even Composite

3,102,200 factors as 2^3 × 5^2 × 15511. Its 24 positive divisors give a proper-divisor sum of 4,110,880, so this integer is abundant. The Collatz stopping time is 164 steps.

Prime Factor Structure

Factorization String 2^3 × 5^2 × 15511
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 7,213,080
Proper Divisor Sum 4,110,880
Digit Sum / Digital Root 8 (Root: 8)
Adjacent Primes #3102199 ← → #3102223

Radix Representation

Decimal 3102200
Binary 1011110101010111111000 (22 bits)
Octal 0o13652770
Hexadecimal 0x2F55F8

Divisor Catalog (24)

1 2 4 5 8 10 20 25 40 50 100 200 15,511 31,022 62,044 77,555 124,088 155,110 310,220 387,775 620,440 775,550 1,551,100 3,102,200

Collatz Trajectory (164 steps to reach 1)

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

3,102,200 1,551,100 775,550 387,775 1,163,326 581,663 1,744,990 872,495 2,617,486 1,308,743 3,926,230 1,963,115 5,889,346 2,944,673 8,834,020 4,417,010 2,208,505 6,625,516 3,312,758 1,656,379 4,969,138 2,484,569 7,453,708 3,726,854 1,863,427 5,590,282 2,795,141 8,385,424 4,192,712 2,096,356 1,048,178 524,089 1,572,268 786,134 393,067 1,179,202 589,601 1,768,804 884,402 442,201 1,326,604 663,302 331,651 994,954 497,477 1,492,432 746,216 373,108 186,554 93,277 279,832 139,916 69,958 34,979 104,938 52,469 157,408 78,704 39,352 19,676

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