12,477,231

3² × 13 × 47 × 2269

12,477,231 factors as 3^2 × 13 × 47 × 2269. Its 24 positive divisors give a proper-divisor sum of 7,353,489, so this integer is deficient. The Collatz stopping time is 184 steps.

Prime Factor Structure

Factorization String 3^2 × 13 × 47 × 2269

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 19,830,720

Proper Divisor Sum 7,353,489

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #12477229 ← → #12477239

Radix Representation

Decimal	12477231
Binary	101111100110001100101111 (24 bits)
Octal	0o57461457
Hexadecimal	0xBE632F

Divisor Catalog (24)

Collatz Trajectory (184 steps to reach 1)

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

12,477,231 37,431,694 18,715,847 56,147,542 28,073,771 84,221,314 42,110,657 126,331,972 63,165,986 31,582,993 94,748,980 47,374,490 23,687,245 71,061,736 35,530,868 17,765,434 8,882,717 26,648,152 13,324,076 6,662,038 3,331,019 9,993,058 4,996,529 14,989,588 7,494,794 3,747,397 11,242,192 5,621,096 2,810,548 1,405,274 702,637 2,107,912 1,053,956 526,978 263,489 790,468 395,234 197,617 592,852 296,426 148,213 444,640 222,320 111,160 55,580 27,790 13,895 41,686 20,843 62,530 31,265 93,796 46,898 23,449 70,348 35,174 17,587 52,762 26,381 79,144

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