λ
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Atlas › Integer Profiles › Node 63,256,576

63,256,576

211 × 67 × 461
Abundant Even Composite

63,256,576 factors as 2^11 × 67 × 461. Its 48 positive divisors give a proper-divisor sum of 65,391,944, so this integer is abundant. The Collatz stopping time is 96 steps.

Prime Factor Structure

Factorization String 2^11 × 67 × 461
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 128,648,520
Proper Divisor Sum 65,391,944
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #63256561 ← → #63256591

Radix Representation

Decimal 63256576
Binary 11110001010011100000000000 (26 bits)
Octal 0o361234000
Hexadecimal 0x3C53800

Divisor Catalog (48)

1 2 4 8 16 32 64 67 128 134 256 268 461 512 536 922 1,024 1,072 1,844 2,048 2,144 3,688 4,288 7,376 8,576 14,752 17,152 29,504 30,887 34,304 59,008 61,774 68,608 118,016 123,548 137,216 236,032 247,096 472,064 494,192 944,128 988,384 1,976,768 3,953,536 7,907,072 15,814,144 31,628,288 63,256,576

Collatz Trajectory (96 steps to reach 1)

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

63,256,576 31,628,288 15,814,144 7,907,072 3,953,536 1,976,768 988,384 494,192 247,096 123,548 61,774 30,887 92,662 46,331 138,994 69,497 208,492 104,246 52,123 156,370 78,185 234,556 117,278 58,639 175,918 87,959 263,878 131,939 395,818 197,909 593,728 296,864 148,432 74,216 37,108 18,554 9,277 27,832 13,916 6,958 3,479 10,438 5,219 15,658 7,829 23,488 11,744 5,872 2,936 1,468 734 367 1,102 551 1,654 827 2,482 1,241 3,724 1,862

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