λ
Ratio Atlas
Atlas › Integer Profiles › Node 96,008,024

96,008,024

23 × 7 × 541 × 3169
Abundant Even Composite

96,008,024 factors as 2^3 × 7 × 541 × 3169. Its 32 positive divisors give a proper-divisor sum of 110,168,776, so this integer is abundant. The Collatz stopping time is 117 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 541 × 3169
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 206,176,800
Proper Divisor Sum 110,168,776
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #96007999 ← → #96008041

Radix Representation

Decimal 96008024
Binary 101101110001111011101011000 (27 bits)
Octal 0o556173530
Hexadecimal 0x5B8F758

Divisor Catalog (32)

1 2 4 7 8 14 28 56 541 1,082 2,164 3,169 3,787 4,328 6,338 7,574 12,676 15,148 22,183 25,352 30,296 44,366 88,732 177,464 1,714,429 3,428,858 6,857,716 12,001,003 13,715,432 24,002,006 48,004,012 96,008,024

Collatz Trajectory (117 steps to reach 1)

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

96,008,024 48,004,012 24,002,006 12,001,003 36,003,010 18,001,505 54,004,516 27,002,258 13,501,129 40,503,388 20,251,694 10,125,847 30,377,542 15,188,771 45,566,314 22,783,157 68,349,472 34,174,736 17,087,368 8,543,684 4,271,842 2,135,921 6,407,764 3,203,882 1,601,941 4,805,824 2,402,912 1,201,456 600,728 300,364 150,182 75,091 225,274 112,637 337,912 168,956 84,478 42,239 126,718 63,359 190,078 95,039 285,118 142,559 427,678 213,839 641,518 320,759 962,278 481,139 1,443,418 721,709 2,165,128 1,082,564 541,282 270,641 811,924 405,962 202,981 608,944

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #96,008,023 Browse Full Index Next Integer #96,008,025 →