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51,186,256

24 × 11 × 337 × 863
Abundant Even Composite

51,186,256 factors as 2^4 × 11 × 337 × 863. Its 40 positive divisors give a proper-divisor sum of 57,449,648, so this integer is abundant. The Collatz stopping time is 199 steps.

Prime Factor Structure

Factorization String 2^4 × 11 × 337 × 863
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 108,635,904
Proper Divisor Sum 57,449,648
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #51186253 ← → #51186263

Radix Representation

Decimal 51186256
Binary 11000011010000101001010000 (26 bits)
Octal 0o303205120
Hexadecimal 0x30D0A50

Divisor Catalog (40)

1 2 4 8 11 16 22 44 88 176 337 674 863 1,348 1,726 2,696 3,452 3,707 5,392 6,904 7,414 9,493 13,808 14,828 18,986 29,656 37,972 59,312 75,944 151,888 290,831 581,662 1,163,324 2,326,648 3,199,141 4,653,296 6,398,282 12,796,564 25,593,128 51,186,256

Collatz Trajectory (199 steps to reach 1)

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

51,186,256 25,593,128 12,796,564 6,398,282 3,199,141 9,597,424 4,798,712 2,399,356 1,199,678 599,839 1,799,518 899,759 2,699,278 1,349,639 4,048,918 2,024,459 6,073,378 3,036,689 9,110,068 4,555,034 2,277,517 6,832,552 3,416,276 1,708,138 854,069 2,562,208 1,281,104 640,552 320,276 160,138 80,069 240,208 120,104 60,052 30,026 15,013 45,040 22,520 11,260 5,630 2,815 8,446 4,223 12,670 6,335 19,006 9,503 28,510 14,255 42,766 21,383 64,150 32,075 96,226 48,113 144,340 72,170 36,085 108,256 54,128

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