12,629,276

2² × 11 × 31 × 47 × 197

12,629,276 factors as 2^2 × 11 × 31 × 47 × 197. Its 48 positive divisors give a proper-divisor sum of 12,917,476, so this integer is abundant. The Collatz stopping time is 347 steps.

Prime Factor Structure

Factorization String 2^2 × 11 × 31 × 47 × 197

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 25,546,752

Proper Divisor Sum 12,917,476

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #12629233 ← → #12629291

Radix Representation

Decimal	12629276
Binary	110000001011010100011100 (24 bits)
Octal	0o60132434
Hexadecimal	0xC0B51C

Divisor Catalog (48)

Collatz Trajectory (347 steps to reach 1)

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

12,629,276 6,314,638 3,157,319 9,471,958 4,735,979 14,207,938 7,103,969 21,311,908 10,655,954 5,327,977 15,983,932 7,991,966 3,995,983 11,987,950 5,993,975 17,981,926 8,990,963 26,972,890 13,486,445 40,459,336 20,229,668 10,114,834 5,057,417 15,172,252 7,586,126 3,793,063 11,379,190 5,689,595 17,068,786 8,534,393 25,603,180 12,801,590 6,400,795 19,202,386 9,601,193 28,803,580 14,401,790 7,200,895 21,602,686 10,801,343 32,404,030 16,202,015 48,606,046 24,303,023 72,909,070 36,454,535 109,363,606 54,681,803 164,045,410 82,022,705 246,068,116 123,034,058 61,517,029 184,551,088 92,275,544 46,137,772 23,068,886 11,534,443 34,603,330 17,301,665

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