λ
Ratio Atlas
Atlas › Integer Profiles › Node 10,240,128

10,240,128

27 × 33 × 2963
Abundant Even Composite

10,240,128 factors as 2^7 × 3^3 × 2963. Its 64 positive divisors give a proper-divisor sum of 19,992,672, so this integer is abundant. The Collatz stopping time is 75 steps.

Prime Factor Structure

Factorization String 2^7 × 3^3 × 2963
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 30,232,800
Proper Divisor Sum 19,992,672
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #10240127 ← → #10240141

Radix Representation

Decimal 10240128
Binary 100111000100000010000000 (24 bits)
Octal 0o47040200
Hexadecimal 0x9C4080

Divisor Catalog (60 of 64)

1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1,152 1,728 2,963 3,456 5,926 8,889 11,852 17,778 23,704 26,667 35,556 47,408 53,334 71,112 80,001 94,816 106,668 142,224 160,002 189,632 213,336 284,448 320,004 379,264 426,672 568,896 640,008 853,344 1,137,792 1,280,016 1,706,688

Collatz Trajectory (75 steps to reach 1)

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

10,240,128 5,120,064 2,560,032 1,280,016 640,008 320,004 160,002 80,001 240,004 120,002 60,001 180,004 90,002 45,001 135,004 67,502 33,751 101,254 50,627 151,882 75,941 227,824 113,912 56,956 28,478 14,239 42,718 21,359 64,078 32,039 96,118 48,059 144,178 72,089 216,268 108,134 54,067 162,202 81,101 243,304 121,652 60,826 30,413 91,240 45,620 22,810 11,405 34,216 17,108 8,554 4,277 12,832 6,416 3,208 1,604 802 401 1,204 602 301

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #10,240,127 Browse Full Index Next Integer #10,240,129 →