λ
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Atlas › Integer Profiles › Node 12,455,480

12,455,480

23 × 5 × 131 × 2377
Abundant Even Composite

12,455,480 factors as 2^3 × 5 × 131 × 2377. Its 32 positive divisors give a proper-divisor sum of 15,795,160, so this integer is abundant. The Collatz stopping time is 158 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 131 × 2377
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 28,250,640
Proper Divisor Sum 15,795,160
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #12455473 ← → #12455491

Radix Representation

Decimal 12455480
Binary 101111100000111000111000 (24 bits)
Octal 0o57407070
Hexadecimal 0xBE0E38

Divisor Catalog (32)

1 2 4 5 8 10 20 40 131 262 524 655 1,048 1,310 2,377 2,620 4,754 5,240 9,508 11,885 19,016 23,770 47,540 95,080 311,387 622,774 1,245,548 1,556,935 2,491,096 3,113,870 6,227,740 12,455,480

Collatz Trajectory (158 steps to reach 1)

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

12,455,480 6,227,740 3,113,870 1,556,935 4,670,806 2,335,403 7,006,210 3,503,105 10,509,316 5,254,658 2,627,329 7,881,988 3,940,994 1,970,497 5,911,492 2,955,746 1,477,873 4,433,620 2,216,810 1,108,405 3,325,216 1,662,608 831,304 415,652 207,826 103,913 311,740 155,870 77,935 233,806 116,903 350,710 175,355 526,066 263,033 789,100 394,550 197,275 591,826 295,913 887,740 443,870 221,935 665,806 332,903 998,710 499,355 1,498,066 749,033 2,247,100 1,123,550 561,775 1,685,326 842,663 2,527,990 1,263,995 3,791,986 1,895,993 5,687,980 2,843,990

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