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Atlas › Integer Profiles › Node 64,055,488

64,055,488

26 × 7 × 142981
Abundant Even Composite

64,055,488 factors as 2^6 × 7 × 142981. Its 28 positive divisors give a proper-divisor sum of 81,214,224, so this integer is abundant. The Collatz stopping time is 96 steps.

Prime Factor Structure

Factorization String 2^6 × 7 × 142981
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 145,269,712
Proper Divisor Sum 81,214,224
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #64055477 ← → #64055503

Radix Representation

Decimal 64055488
Binary 11110100010110100011000000 (26 bits)
Octal 0o364264300
Hexadecimal 0x3D168C0

Divisor Catalog (28)

1 2 4 7 8 14 16 28 32 56 64 112 224 448 142,981 285,962 571,924 1,000,867 1,143,848 2,001,734 2,287,696 4,003,468 4,575,392 8,006,936 9,150,784 16,013,872 32,027,744 64,055,488

Collatz Trajectory (96 steps to reach 1)

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

64,055,488 32,027,744 16,013,872 8,006,936 4,003,468 2,001,734 1,000,867 3,002,602 1,501,301 4,503,904 2,251,952 1,125,976 562,988 281,494 140,747 422,242 211,121 633,364 316,682 158,341 475,024 237,512 118,756 59,378 29,689 89,068 44,534 22,267 66,802 33,401 100,204 50,102 25,051 75,154 37,577 112,732 56,366 28,183 84,550 42,275 126,826 63,413 190,240 95,120 47,560 23,780 11,890 5,945 17,836 8,918 4,459 13,378 6,689 20,068 10,034 5,017 15,052 7,526 3,763 11,290

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