10,648,840

2³ × 5 × 266221

10,648,840 factors as 2^3 × 5 × 266221. Its 16 positive divisors give a proper-divisor sum of 13,311,140, so this integer is abundant. The Collatz stopping time is 171 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 266221

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 23,959,980

Proper Divisor Sum 13,311,140

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #10648819 ← → #10648843

Radix Representation

Decimal	10648840
Binary	101000100111110100001000 (24 bits)
Octal	0o50476410
Hexadecimal	0xA27D08

Divisor Catalog (16)

1 2 4 5 8 10 20 40 266,221 532,442 1,064,884 1,331,105 2,129,768 2,662,210 5,324,420 10,648,840

Collatz Trajectory (171 steps to reach 1)

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

10,648,840 5,324,420 2,662,210 1,331,105 3,993,316 1,996,658 998,329 2,994,988 1,497,494 748,747 2,246,242 1,123,121 3,369,364 1,684,682 842,341 2,527,024 1,263,512 631,756 315,878 157,939 473,818 236,909 710,728 355,364 177,682 88,841 266,524 133,262 66,631 199,894 99,947 299,842 149,921 449,764 224,882 112,441 337,324 168,662 84,331 252,994 126,497 379,492 189,746 94,873 284,620 142,310 71,155 213,466 106,733 320,200 160,100 80,050 40,025 120,076 60,038 30,019 90,058 45,029 135,088 67,544

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