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2,255,656

23 × 13 × 232 × 41
Abundant Even Composite

2,255,656 factors as 2^3 × 13 × 23^2 × 41. Its 48 positive divisors give a proper-divisor sum of 2,621,804, so this integer is abundant. The Collatz stopping time is 148 steps.

Prime Factor Structure

Factorization String 2^3 × 13 × 23^2 × 41
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 4,877,460
Proper Divisor Sum 2,621,804
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #2255639 ← → #2255657

Radix Representation

Decimal 2255656
Binary 1000100110101100101000 (22 bits)
Octal 0o10465450
Hexadecimal 0x226B28

Divisor Catalog (48)

1 2 4 8 13 23 26 41 46 52 82 92 104 164 184 299 328 529 533 598 943 1,058 1,066 1,196 1,886 2,116 2,132 2,392 3,772 4,232 4,264 6,877 7,544 12,259 13,754 21,689 24,518 27,508 43,378 49,036 55,016 86,756 98,072 173,512 281,957 563,914 1,127,828 2,255,656

Collatz Trajectory (148 steps to reach 1)

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

2,255,656 1,127,828 563,914 281,957 845,872 422,936 211,468 105,734 52,867 158,602 79,301 237,904 118,952 59,476 29,738 14,869 44,608 22,304 11,152 5,576 2,788 1,394 697 2,092 1,046 523 1,570 785 2,356 1,178 589 1,768 884 442 221 664 332 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412

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