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14,963,008

26 × 113 × 2069
Abundant Even Composite

14,963,008 factors as 2^6 × 113 × 2069. Its 28 positive divisors give a proper-divisor sum of 15,006,452, so this integer is abundant. The Collatz stopping time is 205 steps.

Prime Factor Structure

Factorization String 2^6 × 113 × 2069
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 29,969,460
Proper Divisor Sum 15,006,452
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #14962999 ← → #14963017

Radix Representation

Decimal 14963008
Binary 111001000101000101000000 (24 bits)
Octal 0o71050500
Hexadecimal 0xE45140

Divisor Catalog (28)

1 2 4 8 16 32 64 113 226 452 904 1,808 2,069 3,616 4,138 7,232 8,276 16,552 33,104 66,208 132,416 233,797 467,594 935,188 1,870,376 3,740,752 7,481,504 14,963,008

Collatz Trajectory (205 steps to reach 1)

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

14,963,008 7,481,504 3,740,752 1,870,376 935,188 467,594 233,797 701,392 350,696 175,348 87,674 43,837 131,512 65,756 32,878 16,439 49,318 24,659 73,978 36,989 110,968 55,484 27,742 13,871 41,614 20,807 62,422 31,211 93,634 46,817 140,452 70,226 35,113 105,340 52,670 26,335 79,006 39,503 118,510 59,255 177,766 88,883 266,650 133,325 399,976 199,988 99,994 49,997 149,992 74,996 37,498 18,749 56,248 28,124 14,062 7,031 21,094 10,547 31,642 15,821

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