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2,393,586

2 × 32 × 13 × 53 × 193
Abundant Even Composite

2,393,586 factors as 2 × 3^2 × 13 × 53 × 193. Its 48 positive divisors give a proper-divisor sum of 3,326,310, so this integer is abundant. The Collatz stopping time is 236 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 13 × 53 × 193
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 5,719,896
Proper Divisor Sum 3,326,310
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #2393581 ← → #2393591

Radix Representation

Decimal 2393586
Binary 1001001000010111110010 (22 bits)
Octal 0o11102762
Hexadecimal 0x2485F2

Divisor Catalog (48)

1 2 3 6 9 13 18 26 39 53 78 106 117 159 193 234 318 386 477 579 689 954 1,158 1,378 1,737 2,067 2,509 3,474 4,134 5,018 6,201 7,527 10,229 12,402 15,054 20,458 22,581 30,687 45,162 61,374 92,061 132,977 184,122 265,954 398,931 797,862 1,196,793 2,393,586

Collatz Trajectory (236 steps to reach 1)

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

2,393,586 1,196,793 3,590,380 1,795,190 897,595 2,692,786 1,346,393 4,039,180 2,019,590 1,009,795 3,029,386 1,514,693 4,544,080 2,272,040 1,136,020 568,010 284,005 852,016 426,008 213,004 106,502 53,251 159,754 79,877 239,632 119,816 59,908 29,954 14,977 44,932 22,466 11,233 33,700 16,850 8,425 25,276 12,638 6,319 18,958 9,479 28,438 14,219 42,658 21,329 63,988 31,994 15,997 47,992 23,996 11,998 5,999 17,998 8,999 26,998 13,499 40,498 20,249 60,748 30,374 15,187

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