λ
Ratio Atlas
Atlas › Integer Profiles › Node 12,144,440

12,144,440

23 × 5 × 7 × 11 × 3943
Abundant Even Composite

12,144,440 factors as 2^3 × 5 × 7 × 11 × 3943. Its 64 positive divisors give a proper-divisor sum of 21,931,720, so this integer is abundant. The Collatz stopping time is 122 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 7 × 11 × 3943
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 34,076,160
Proper Divisor Sum 21,931,720
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #12144413 ← → #12144463

Radix Representation

Decimal 12144440
Binary 101110010100111100111000 (24 bits)
Octal 0o56247470
Hexadecimal 0xB94F38

Divisor Catalog (60 of 64)

1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1,540 3,080 3,943 7,886 15,772 19,715 27,601 31,544 39,430 43,373 55,202 78,860 86,746 110,404 138,005 157,720 173,492 216,865 220,808 276,010 303,611 346,984 433,730 552,020 607,222 867,460 1,104,040 1,214,444 1,518,055 1,734,920

Collatz Trajectory (122 steps to reach 1)

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

12,144,440 6,072,220 3,036,110 1,518,055 4,554,166 2,277,083 6,831,250 3,415,625 10,246,876 5,123,438 2,561,719 7,685,158 3,842,579 11,527,738 5,763,869 17,291,608 8,645,804 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

More profiles

Browse other published profiles and their separate link collections.

Profile #8,342,168 Profile #1,146,956 Profile #9,712,347 Profile #6,573,969 Profile #965,653 Profile #4,620,983 Profile #853,259 Profile #1,288,150
← Previous Integer #12,144,439 Browse Full Index Next Integer #12,144,441 →