λ
Ratio Atlas
Atlas › Integer Profiles › Node 10,246,872

10,246,872

23 × 3 × 109 × 3917
Abundant Even Composite

10,246,872 factors as 2^3 × 3 × 109 × 3917. Its 32 positive divisors give a proper-divisor sum of 15,611,928, so this integer is abundant. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 109 × 3917
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 25,858,800
Proper Divisor Sum 15,611,928
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #10246849 ← → #10246883

Radix Representation

Decimal 10246872
Binary 100111000101101011011000 (24 bits)
Octal 0o47055330
Hexadecimal 0x9C5AD8

Divisor Catalog (32)

1 2 3 4 6 8 12 24 109 218 327 436 654 872 1,308 2,616 3,917 7,834 11,751 15,668 23,502 31,336 47,004 94,008 426,953 853,906 1,280,859 1,707,812 2,561,718 3,415,624 5,123,436 10,246,872

Collatz Trajectory (114 steps to reach 1)

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

10,246,872 5,123,436 2,561,718 1,280,859 3,842,578 1,921,289 5,763,868 2,881,934 1,440,967 4,322,902 2,161,451 6,484,354 3,242,177 9,726,532 4,863,266 2,431,633 7,294,900 3,647,450 1,823,725 5,471,176 2,735,588 1,367,794 683,897 2,051,692 1,025,846 512,923 1,538,770 769,385 2,308,156 1,154,078 577,039 1,731,118 865,559 2,596,678 1,298,339 3,895,018 1,947,509 5,842,528 2,921,264 1,460,632 730,316 365,158 182,579 547,738 273,869 821,608 410,804 205,402 102,701 308,104 154,052 77,026 38,513 115,540 57,770 28,885 86,656 43,328 21,664 10,832

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #10,246,871 Browse Full Index Next Integer #10,246,873 →