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10,200,064

210 × 7 × 1423
Abundant Even Composite

10,200,064 factors as 2^10 × 7 × 1423. Its 44 positive divisors give a proper-divisor sum of 13,119,360, so this integer is abundant. The Collatz stopping time is 83 steps.

Prime Factor Structure

Factorization String 2^10 × 7 × 1423
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 44
Divisor Sum (σ) 23,319,424
Proper Divisor Sum 13,119,360
Digit Sum / Digital Root 13 (Root: 4)
Adjacent Primes #10200037 ← → #10200067

Radix Representation

Decimal 10200064
Binary 100110111010010000000000 (24 bits)
Octal 0o46722000
Hexadecimal 0x9BA400

Divisor Catalog (44)

1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1,024 1,423 1,792 2,846 3,584 5,692 7,168 9,961 11,384 19,922 22,768 39,844 45,536 79,688 91,072 159,376 182,144 318,752 364,288 637,504 728,576 1,275,008 1,457,152 2,550,016 5,100,032 10,200,064

Collatz Trajectory (83 steps to reach 1)

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

10,200,064 5,100,032 2,550,016 1,275,008 637,504 318,752 159,376 79,688 39,844 19,922 9,961 29,884 14,942 7,471 22,414 11,207 33,622 16,811 50,434 25,217 75,652 37,826 18,913 56,740 28,370 14,185 42,556 21,278 10,639 31,918 15,959 47,878 23,939 71,818 35,909 107,728 53,864 26,932 13,466 6,733 20,200 10,100 5,050 2,525 7,576 3,788 1,894 947 2,842 1,421 4,264 2,132 1,066 533 1,600 800 400 200 100 50

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